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

\(\displaystyle{x}+{23}={72}\)

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