You buy 2 shirts and 3 pairs of pants for $50. Your friend buys 3 shirts and 1 pair of pants for $40. how much does the shirts cost?

Answer 1

Hi,

We could solve this question by setting up a system of linear equations.

Let s = shirt and p = pants

Then we can come up with the following equations:

Equation 1:

2s + 3p = 50

Equation 2:

3s +1p = 40

Now our goal is to find the cost of 1 shirt first. So we can artificially multiply the second equation with -3 to get rid of the pants. It would look something like this:

2s + 3p = 50

-3(3s +1p) = -3(40)

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2s + 3p = 50

-9s - 3p = -120 We can clearly get rid of the pants (p) now.

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-7s = -70

Divide by -7 on both sides to isolate s, and we get:

s = 10 -> Thus, the cost of one shirt is $10.

Answer:

Let's find the cost of 5 shirts. So we will do 5 x $10 = $50

Answer 2