Question

Allie collected 15 more cans of food than Peyton. Ling collected 8 more than Allie. Ling collected 72 cans of food. How many cans of food did Allie, Peyton, and Ling collect in all?

Equations and inequalities
ANSWERED
asked 2021-03-05
Allie collected 15 more cans of food than Peyton. Ling collected 8 more than Allie. Ling collected 72 cans of food. How many cans of food did Allie, Peyton, and Ling collect in all?

Answers (1)

2021-03-06
Let x be the number of cans of food Peyton collected so that Allie collected x+15 and Ling collected \(\displaystyle{\left({x}+{15}\right)}+{8}={x}+{23}\) cans of food. Given that Ling collected 72 cans of food, we can write:
\(\displaystyle{x}+{23}={72}\)
Solve for xx. Subtract 23 from both sides:
\(\displaystyle{x}={49}\)
So, Peyton collected 4949 and Allie collected \(\displaystyle{49}+{15}={6449}+{15}={64}\) cans of food. Overall, they collected a total of:
\(\displaystyle{49}+{64}+{72}={185}\) cans of food
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