Question

John bought 2 pairs of shorts and 1 shirt for 2,000.00 on

Monday. The next day he decided to buy his brothers 4
pairs of shorts and 3 shirts worth 4,600.00. How much is
each pair of short and shirt?
A)400,200
B)200,400
C)700,600
D)600,700

Answer 1

By setting up a system of equations to represent John's purchases, we can calculate that the price of each pair of shorts is 700 and the price of each shirt is 600. Therefore, the correct answer is D)600,700.

Step-by-step explanation:

Let's denote the price of a pair of shorts as S and the price of a shirt as T. From the information given, we can set up two equations based on the purchases:

1. 2S + T = 2000 (purchase on Monday)
2. 4S + 3T = 4600 (purchase on the following day)

Now we can solve this system of equations.

Step 1: Solve the first equation for T

T = 2000 - 2S

Step 2: Substitute T in the second equation

4S + 3(2000 - 2S) = 4600

4S + 6000 - 6S = 4600

-2S = -1400

S = 700

Step 3: Substitute S back in the first equation

2(700) + T = 2000

1400 + T = 2000

T = 600

Therefore, the price of each pair of shorts is 700 and the price of each shirt is 600. The correct answer is D)600,700.