Kristin spent $131 on shirts. Fancy shirts cost $41 and plain shirts cost $15. She bought seven
2 answers:
Answer:
Kristin bought 1 fancy shirt and 6 plain shirts.
Step-by-step explanation:
1. Lets name the fancy shirts and the plain shirts as the following:
x = fancy shirts
y = plain shirts
2. The total money spent can be expressed as:
T=x*(cost of fancy shirts)+y*(cost of plain shirts)
As Kristin spent a total of $131 on shirts, where fancy shirts cost $41 and plain shirts cost $15, replacing values we have:
T = (cost of fancy shirts)*x + (cost of plain shirts)*y
131 = 41x + 15y (Eq.1)
3. As the problem says that Kristin bought seven total shirts, the total quantity of fancy and plain shirts can be expressed as:
x + y = 7
Solving for x, we have:
x = 7 - y (Eq.2)
4. Replacing Eq. 2 in Eq. 1 we have the following:
131 = 41(7-y) + 15y
Solving for y:
131 = 287 - 41y + 15y
131 = 287 - 26y
131 - 287 = -26y
-156 = -26y
6 = y
And replacing this value in Eq.2 whe have:
x = 7 - 6
x = 1
Therefore Kristin bought 6 plain shirts and 1 fancy shirt.
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