Derek unpacked 126 kilograms of grapefruits and lemons. The grapefruits came in 10-kilogram bags and the lemons came in 8-kilogr am bags. In all, Derek unpacked 13 bags of fruit. How many bags of grapefruits and bags of lemons did he unpack?
1 answer:
Answer:
11 bags of grapefruits; 2 bags of lemons
Step-by-step explanation:
Create a system of equations.
Let x be the number of grapefruit bags. Let y be the number of lemon bags.
x + y = 13
10x + 8y = 126
Rearrange the first equation to solve for x:
x = 13 - y
Substitute x in for x in the second equation:
10(13 - y) + 8y = 126
130 - 10y + 8y = 126
-2y = -4
y = 2
Plug y back into the first equation to solve for x.
x = 13 - 2
x = 11
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