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 $10 and the price of a pair of jeans is $20.

Explanation:

Step 1:

Assume the cost of one t-shirt is x and the cost of one pair of jeans is y.

From the question,

`2x+y=40`, take this as equation 1,

For the second scenario, there was a 50% discount, so we multiply the total price i.e $60 by 2 to form equation 2.

`2x+5y=120`, take this as equation 2.

Step 2:

When we subtract equation 2 from equation 1, the x variable is canceled out and y can be calculated.

`-4y= -80,`

`y = (-80)/(-4) = 20.`

Step 3:

Substituting this value of y in any of the previous equations we will get x's value.

Here this value of y i.e
`y=20` is substituted in equation 1.

`2x+y=40, 2x+20=40, 2x = 20,`

`x = (20)/(2) = 10.`

So we have
`x = 10` and
`y = 20.` So the price of a t-shirt is $10 and the price of a pair of jeans is $20.