Instructions: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 $.

Question

07-05-2016
Mathematics

contestada

Instructions: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 $.

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Edufirst Edufirst · Answer 1 · 2016-05-16T02:10:30+02:00

Call T the price of the T-shirts and P de price of the jeans

Initially (without discount)
2T + P = 40

One month later (half prices)
2 (T/2) + 5(P/2) = 60
T +5P/2 = 60

To solve the system of equations multiply the second equation by 2 and substract it from the first equation

   2 T + 5P = 120
- (2 T +   P = 40 )
________________

   4P = 80

P = 80/4
P = 20

From 2T + P = 40

T = (40 - P) / 2 = (40 -20) / 2 = 20/2 = 10.

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