Question

Sally bought shirts and pants for school. She bought a total of 8 items. Each pair of pants cost $28, and each shirt cost $12. She spent a total of $144. How many pairs of pants did Sally buy? How many shirts did she buy?

Answer 1

Sally bought 3 pairs of pants and 5 shirts.

Step-by-step explanation:

Let's assume that Sally bought x pairs of pants and y shirts. Each pair of pants costs $28 and each shirt costs $12.

According to the given information, she bought a total of 8 items and spent a total of $144. We can set up the following equations:

x + y = 8 -- equation (1)

28x + 12y = 144 -- equation (2)

To solve this system of equations, we can multiply equation (1) by 12 to eliminate the variable y:

12x + 12y = 96 -- equation (3)

Subtract equation (3) from equation (2) to eliminate the variable y:

(28x + 12y) - (12x + 12y) = 144 - 96

16x = 48

x = 3

Now substitute the value of x back into equation (1) to find y:

3 + y = 8

y = 5

Therefore, Sally bought 3 pairs of pants and 5 shirts.

Answer 2

Sally bought 3 pairs of pants and 5 shirts.

Step-by-step explanation:

Let's assume that Sally bought x pairs of pants and y shirts. Each pair of pants costs $28 and each shirt costs $12.

According to the given information, she bought a total of 8 items and spent a total of $144. We can set up the following equations:

x + y = 8 -- equation (1)

28x + 12y = 144 -- equation (2)

To solve this system of equations, we can multiply equation (1) by 12 to eliminate the variable y:

12x + 12y = 96 -- equation (3)

Subtract equation (3) from equation (2) to eliminate the variable y:

(28x + 12y) - (12x + 12y) = 144 - 96

16x = 48

x = 3

Now substitute the value of x back into equation (1) to find y:

3 + y = 8

y = 5

Therefore, Sally bought 3 pairs of pants and 5 shirts.

Answer 3

Sally bought 3 pairs of pants and 5 shirts.

Step-by-step explanation:

Let's assume that Sally bought x pairs of pants and y shirts. Each pair of pants costs $28 and each shirt costs $12.

According to the given information, she bought a total of 8 items and spent a total of $144. We can set up the following equations:

x + y = 8 -- equation (1)

28x + 12y = 144 -- equation (2)

To solve this system of equations, we can multiply equation (1) by 12 to eliminate the variable y:

12x + 12y = 96 -- equation (3)

Subtract equation (3) from equation (2) to eliminate the variable y:

(28x + 12y) - (12x + 12y) = 144 - 96

16x = 48

x = 3

Now substitute the value of x back into equation (1) to find y:

3 + y = 8

y = 5

Therefore, Sally bought 3 pairs of pants and 5 shirts.

Answer 4

3 pants and 5 shirts

Step-by-step explanation:

x+y=8

28x+12y=144

-12x-12y=-96

16x=48

x=3