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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 $______

Type the correct answer in each box Use numerals instead of words If necessary use for the fraction barsJames bought two Tshirts and one pair of jeans at an onl class=

Respuesta :

The price of a t-shirt is $10 and the price of a pair of jeans is $20.

Step-by-step 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,

[tex]2x+y=40[/tex], 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.

[tex]2x+5y=120[/tex], 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.

[tex]-4y= -80,[/tex]

[tex]y = \frac{-80}{-4} = 20.[/tex]

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 [tex]y=20[/tex] is substituted in equation 1.

[tex]2x+y=40, 2x+20=40, 2x = 20,[/tex]

[tex]x = \frac{20}{2} = 10.[/tex]

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

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