Kristin spent $120 on shirts. Dress shirts cost $40 and t-shirts cost $8. If she bought a total of 7 shirts, then how many of each kind did she buy?

The correct answer is: She bought 2 dress shirts and 5 t-shirts

Step-by-step explanation:

Let's marked dress shirts with x and t-shirts with y.

Now we will make equations to solve this problem:

x + y = 7 = > y = 7 - x

40 x + 8 y = 120

When we replace y = (7 - x) in the previous equation we get:

40 x + 8 (7 - x) = 120 40 x + 56 - 8 x = 120 = > 32 x = 120 - 56 = >

32 x = 64 = > x = 64/32 = 2 = > x = 2

y = 7 - x = 7 - 2 = 5 = > y = 5

x = 2 dress shirts

y = 5 t-shirts

God with you!