daisiamartinez10
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Solve the problem:

A shopper purchased 5 T-Shirts and 3 pairs pants for $105. The next day, he purchased 4 T-shirts and 2 pair of
pants for $80. How much does each T-shirt and each pair of pants cost?

Respuesta :

Onoriodefelix

Answer:

$15 And $10

Step-by-step explanation:

Let T-shirt’s be x and pants be y.

Firstly 5 T-shirts plus 3 pairs of pants cost $105

That’s

5x + 3y = 105

The next day 4 T-shirts and 2 pairs of pants cost $80.

That’s

4x + 2y = 80

Thus we have

5x + 3y = 105

4x + 2y = 80

Multiply equation one by 4 and equation two by 5

We have

20x + 12y = 420

20x + 10y = 400

Subtract equation 2 from 1

We’re left with

2y = 20

Divide both sides by 2

y = 20/2

y = 10

Now substitute 10 for y into any of the equations to get x.

Using equation one

We have

5x + 3 x 10 = 105

5x + 30 = 105

Subtract 30 from both sides

5x + 30 - 30 = 105 - 30

5x = 75

Divide both sides by 5

x = 75/5

= 15

Therefore each T-shirt cost $15 and each pant costs $10

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