Question

Joe bought 2 pairs of jeans and 1 shirt for 120 Sam bought 1 pair of jeans and 3 shirts for 135 How much does one shirt cost

Answer 1

One shirt costs 30

Explanation:

So, we don't know the prices for 1 shirt & 1 jeans, and we're to find the value of 1 shirt. Let's take it that:

1 shirt costs: x

1 jeans costs: y

Given that two persons in the names of Joe and Sam bought 2 pairs of jeans and 1 shirt for 120 and 1 pair of jeans and 3 shirts for 135 respectively, we can actually see that both persons bought jeans and shirts for different values. With the information, we convert to simultaneous equation.

The first info states that:

`2y + x = 120→equ(i)`

The second info states that:

`y + 3x = 135→equ(ii)`

Now, since we are to find the cost of 1 shirt (x), we make y the subject of formula in equation (ii) to solve for x.

`y = 135 - 3x→equ(iii)`

Replace for the value of y in equation (i)

`2(135 - 3x) + x = 120`

`270 - 6x + x = 120`

Take like terms

`-5x = 120 - 270`

`-5x = -150`

Divide both sides by -5 to find the value of x

x = -150/ -5

Therefore: x = 30

Replace for the value of x in any of the equations

y = 45

Answer 2

One shirt costs $80 and a pair of jeans equals $`15.

Explanation:

If the shirt would cost $80 and you get 1, the jeans would equal 15. 2 pairs of jeans is 30, leaving $80 for the 1 shirt. You buy 1 pair of jeans, 15, and get 3 shirts for 135, 3 shirts would be 120. 120 + 15= 135. 80 + 15 + 15= 120.