James bought two shirts and three pairs of pants for $87. Matthew bought two pairs of pants and one shirt for $53. Assuming each pair of pants costs the same amount and each shirt costs the same amount, how much does one pair of pants cost?

One pair of pants cost $19.

James: 19 x 3 = 57
87 - 57 = 30
James got 2 shirts thats why he spent $30.
Which means each shirt cost $15

Matthew: 19 x 2 = 38
53 - 38 = 15
Matthew only got 1 shirt thats why he spent $15.

So shirts cost $15 and pants cost $19.

Hope this Helps!!

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wifilethbridge wifilethbridge · Answer 2 · 2019-06-12T20:02:01+02:00

Answer:

$19

Step-by-step explanation:

Let x be the cost of 1 shirt

Cost of 2 shirts = 2x

Let y be the cost of 1 pant

Cost of 3 pants = 3y

Cost of 2 pants = 2y

Since we are given that James bought two shirts and three pairs of pants for $87.

So, Equation becomes:[tex]2x+3y=87[/tex] --1

Now we are given that Matthew bought two pairs of pants and one shirt for $53.

So, Equation becomes:[tex]x+2y=53[/tex] --2

Now substitute value of x from 2 in 1

[tex]2(53-2y)+3y=87[/tex]

[tex]106-4y+3y=87[/tex]

[tex]106-y=87[/tex]

[tex]106-87=y[/tex]

[tex]19=y[/tex]

Cost of 1 pant is $19

Substitute the value of y in 1 to get value of x

[tex]2x+3(19)=87[/tex]

[tex]2x+57=87[/tex]

[tex]2x=30[/tex]

[tex]x=15[/tex]

Cost of 1 shirt is $15

Hence one pair of pants costs $19.