Question

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 $ . NextReset

Answer 1

Answer:

Let x represents the price of the T-shirts and y represents the price of a pair of  jeans

As per the statement:-

James bought two T-shirts and one pair of jeans at an online store and paid $40, not including taxes, for his purchase.

⇒$2x+y = 40$                      .....[1]

It is also given that:

A month later, the same store sold the T-shirts and jeans at a 50% discount from their original prices.

Discount = 50%

Now, the price becomes:

Price of t-shirt = $\frac{x}{2}$ and

Price of a pair of jeans = $\frac{y}{2}$

Further:

James bought two T-shirts and five pairs of jeans for $60, not including taxes.

⇒$2(\frac{x}{2})+5(\frac{y}{2}) = 60$              

⇒$2x+5y = 120$                         .....[2]

Subtract equation [1] from [2] we get;

$4y = 80$

Divide both sides by 4 we have;

y = $ 20

Substitute this value of y in [1] we have;

2x+20 = 40

Subtract 20 from both sides we have;

2x = 20

Divide both sides by 2 we have;

x =$ 10

Therefore,the price of a T-shirt is $ 10 and the price of a pair of jeans is $ 20

Answer 2

2a+b=40
2(a/2)+5(b/2)=60

T-shirt = 10
Jeans = 20