Question

1. Kristen spent $131 on shirts at Target last week. She bought some fancy shirts for

$28 each and then some plain t-shirts for $15 each. If she bought a total of 7 shirts,
then how many of each type of shirt did she buy?
problem #1
problem #2

Answer 1

Kristen bought 2 fancy shirts and 5 plain t-shirts.

Explanation:

Given that,

Kristen spent $131 on 7 shirts.

Cost of one fancy shirt = $28

Cost of one plain t-shirt = $15

Let,

x be the number of fancy shirts

y be the number of plain t-shirts

x+y = 7 Eqn 1

28x+15y=131 Eqn 2

Multiplying Eqn 1 by 15

15(x+y=7)

15x+15y=105 Eqn 3

Subtracting Eqn 3 from Eqn 2

(28x+15y)-(15x+15y)=131-105

28x+15y-15x+15y=26

13x=26

Dividing both sides by 13

`(13x)/(13)=(26)/(13)\\x=2`

Putting x=2 in Eqn 1

2+y=7

y=7-2

y=5

Hence,

Kristen bought 2 fancy shirts and 5 plain t-shirts.