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
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?

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:
$$\displaystyle{x}+{23}={72}$$
$$\displaystyle{x}={49}$$
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