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

15(x - 20) = 15x - 300

As it is given total money paid is $375

∴ 15x - 300 = 375

15x = 375 + 300

15x = 675

x =

x = 45

- Final Answer:

Hence, the original price of sweater is $45.

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