Question

Paul bought 9 total shirts for a total of $72. Tee shirts cost $10 and long sleeve shirts cost $7. How many of each type of shirt did he buy?

Answer 1

6 long sleeves and 3 short sleeves

Answer 2

Paul bought 3 Tee shirts and 6 Shirts.

Explanation:

Given : Paul bought 9 total shirts for a total of $72.

Tee shirts cost $10 and long sleeve shirts cost $7.

To Find: How many of each type of shirt did he buy?

Solution:

Let x be the number of Tee

Let y be the number of long sleeve shirts

Now we are given that he bought 9 total shirts

So,
`x+y=9` --1

Cost of 1 Tee shirt = $10

So, Cost of x T shirts =10x

Cost of y long sleeve shirts = 7y

Since we are given that Paul bought 9 total shirts for a total of $72

So,Equation becomes:
`10x+7y=72` --2

Solving 1 and 2

Substitute the value of x from 1 in 2

`10(9-y)+7y=72`

`90-10y+7y=72`

`90-3y=72`

`18=3y`

`(18)/(3)=y`

`6=y`

Now substitute the value of y in 1

`x+6=9`

`x=3`

So, Paul bought 3 Tee shirts and 6 Shirts.