Maths-
General
Easy

Question

A store had homemade sweaters on sale for $20 off the original price. Aunt Ethel jumped at the bargain and bought a sweater for all 15 members of her family. If Aunt Ethel paid $375 for all the sweaters, what was the original price of each sweater?

The correct answer is: $45


    • Hint:
    ○ Form the eqaution using given information.
    ○ Take variable value as any alphabet.
    ○ Take terms with cofficient at one side and without cofficients at another side.
    • Step-by-step explanation:
    ○ Given:
    Discount per sweater = $20.
    No of sweaters brought = 15.
    Total money paid = $375.
    ○ Step 1:
    Let the original price of one sweater be x.
    So,
    Selling price of 1 sweater  = original price - discount
    Selling price of 1 sweater  = x - 20
    ○ Step 2:
    ○ Total selling price.
    As 1 sweater cost (x-20)
    So, 15 sweater will cost
    rightwards double arrow15(x - 20) = 15x - 300
    As it is given total money paid is $375
    ∴ 15x - 300 = 375
    rightwards double arrow15x = 375 + 300
    rightwards double arrow15x = 675
    rightwards double arrowx = 675 over 15
    rightwards double arrowx = 45
    • Final Answer:
    Hence, the original price of sweater is $45.

    Related Questions to study

    General
    Maths-

    Gym charges a $50 activation fee and $17 per month for a membership. If you spend $356, for how many months do you have a gym membership?

    Gym charges a $50 activation fee and $17 per month for a membership. If you spend $356, for how many months do you have a gym membership?

    Maths-General
    General
    Maths-

    State the law of logic that is illustrated.
    If you score more than 75%, then you can go to the beach.
    If you go to the beach, then you can surf.
    If you score more than 75%. Then you can surf

    State the law of logic that is illustrated.
    If you score more than 75%, then you can go to the beach.
    If you go to the beach, then you can surf.
    If you score more than 75%. Then you can surf

    Maths-General
    General
    Maths-

    Show the conjecture is false by finding a counterexample. Two adjacent angles always form a linear pair.

    Show the conjecture is false by finding a counterexample. Two adjacent angles always form a linear pair.

    Maths-General
    parallel
    General
    Maths-

    Prove that ∠ ABC ≅ ∠ ADC

    Prove that ∠ ABC ≅ ∠ ADC

    Maths-General
    General
    Maths-

    A man bought 4 cups of coffee and left a $7 tip. A woman bought 8 cups of coffee and only left a $2 tip. If they paid the same amount, how much was each cup of coffee?

    A man bought 4 cups of coffee and left a $7 tip. A woman bought 8 cups of coffee and only left a $2 tip. If they paid the same amount, how much was each cup of coffee?

    Maths-General
    General
    Maths-

    Prove that ∠ ABC ≅  ∠ PQR

    Prove that ∠ ABC ≅  ∠ PQR

    Maths-General
    parallel
    General
    Maths-

    Show the conjecture is false by finding a counterexample. If stack A B with _ below ≅ stack B C with _ below, then point B is the midpoint of AB.

    Show the conjecture is false by finding a counterexample. If stack A B with _ below ≅ stack B C with _ below, then point B is the midpoint of AB.

    Maths-General
    General
    Maths-

    A store discounted the price of Doritos $0.35 and then a man bought 5 bags. If he paid a total of $12.70 for the bags of chips, how much was each bag originally?

    A store discounted the price of Doritos $0.35 and then a man bought 5 bags. If he paid a total of $12.70 for the bags of chips, how much was each bag originally?

    Maths-General
    General
    Maths-

    Use the Law of Detachment to make a valid conclusion in the true situation.
    If the measure of an angle is less than 90°, then it is an acute angle.
    m straight angle Q equals 165 to the power of ring operator

    Use the Law of Detachment to make a valid conclusion in the true situation.
    If the measure of an angle is less than 90°, then it is an acute angle.
    m straight angle Q equals 165 to the power of ring operator

    Maths-General
    parallel
    General
    Maths-

    Find JK

    Find JK

    Maths-General
    General
    Maths-

    A girl bought two packs of gum from the store. Later she thought she would need some more gum and went back to the store to buy three more packs of gum. If she paid a total of $5.70 for gum, how much was each pack of gum?

    A girl bought two packs of gum from the store. Later she thought she would need some more gum and went back to the store to buy three more packs of gum. If she paid a total of $5.70 for gum, how much was each pack of gum?

    Maths-General
    General
    Maths-

    Use the Law of Detachment to make a valid conclusion in the true situation.
    If angles form a linear pair, then they are supplementary.
    ∠𝐴 𝑎𝑛𝑑 ∠𝐵 form a linear pair.

    Use the Law of Detachment to make a valid conclusion in the true situation.
    If angles form a linear pair, then they are supplementary.
    ∠𝐴 𝑎𝑛𝑑 ∠𝐵 form a linear pair.

    Maths-General
    parallel
    General
    Maths-

    A man buys four books from the store and a Preferred Reader discount card for $20. Later that day, he goes back and buys five more books. He also got a $5 discount using his new card. If he spent a total of $87 at the bookstore, how much did each book cost assuming every book cost the same amount?

    A man buys four books from the store and a Preferred Reader discount card for $20. Later that day, he goes back and buys five more books. He also got a $5 discount using his new card. If he spent a total of $87 at the bookstore, how much did each book cost assuming every book cost the same amount?

    Maths-General
    General
    Maths-

    Show the conjecture is false by finding a counterexample. If the product of two numbers is even, then the two numbers must be even.

    Show the conjecture is false by finding a counterexample. If the product of two numbers is even, then the two numbers must be even.

    Maths-General
    General
    Maths-

    Dimple Bought a Calculator and binder that were both 15% off the original price. The
    original price of binder was Rs 6.20. Justin spent a total of Rs 107. 27 . What was the
    original price of the calculator?

    The x + 2 = 6 x+2=6x, plus, 2, equals 6 contains a variable. We call this type of equation with a variable an algebraic equation. Finding the variable value that will result in a true equation is typically our aim when solving an algebraic equation.
    ¶Variables or constants are the two types of measurable quantities. A variable is a quantity with a varying value, and the constant value is nothing but a constant.
    Steps to writing Variable Equation
    1) Identify the variables that represent the unknowns.
    2) Convert the issue into variable expressions in algebra.
    3) Determine the variables' values to solve the equations for their true values.

    Dimple Bought a Calculator and binder that were both 15% off the original price. The
    original price of binder was Rs 6.20. Justin spent a total of Rs 107. 27 . What was the
    original price of the calculator?

    Maths-General

    The x + 2 = 6 x+2=6x, plus, 2, equals 6 contains a variable. We call this type of equation with a variable an algebraic equation. Finding the variable value that will result in a true equation is typically our aim when solving an algebraic equation.
    ¶Variables or constants are the two types of measurable quantities. A variable is a quantity with a varying value, and the constant value is nothing but a constant.
    Steps to writing Variable Equation
    1) Identify the variables that represent the unknowns.
    2) Convert the issue into variable expressions in algebra.
    3) Determine the variables' values to solve the equations for their true values.

    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.