Question

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

James bought two T-shirts and one pair of jeans at an online store and paid $40, not including taxes, for his purchase. A month later, the same store sold the T-shirts and jeans at a 50% discount from their original prices. James bought two T-shirts and five pairs of jeans for $60, not including taxes.
Assuming the base prices of the T-shirts and the jeans are the same on both occasions, and ignoring the taxes, the price of a T-shirt is $______
and the price of a pair of jeans is $______
.

Answer 1

the price of a T-shirt is $17.5

the price of a pair of jeans is $5

Explanation:

Answer 2

Answer: the price of a T-shirt is $17.5

the price of a pair of jeans is $5

Explanation:

Let x represent the price of one T shirt.

Let y represent the price of one pair of jeans.

James bought two T-shirts and one pair of jeans at an online store and paid $40. This means that

2x + y = 40- - - - - - - - - - - - - 1

A month later, the same store sold the T-shirts and jeans at a 50% discount from their original prices. James bought two T-shirts and five pairs of jeans for $60. Assuming the base prices of the T-shirts and the jeans are the same on both occasions, This means that

2x + 5y = 60- - - - - - - - - - - -2

Subtracting equation 2 from equation 1, it becomes

- 4y = - 20

y = - 20/ - 4

y = 5

Substituting y = 5 into equation 1, it becomes

2x + 5 = 40

2x = 40 - 5 = 35

x = 35/2

x = 17.5