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.

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