Question

3 alberto is in charge of making lunch at a summer camp. he knows that 3 tuna casseroles will serve 15 campers. how many tuna casseroles should alberto make to serve 35 campers? use the ratio table to explain your reasoning.
casseroles | 1 | 3 | |
campers | | 15 | 30 | 35

Explanation:

Step1: Find campers per casserole

Given 3 casseroles serve 15 campers. To find campers per 1 casserole, divide 15 by 3: $15\div3 = 5$. So 1 casserole serves 5 campers.

Step2: Find casseroles for 30 campers

Since 1 casserole serves 5 campers, for 30 campers, divide 30 by 5: $30\div5 = 6$. So 6 casseroles serve 30 campers.

Step3: Find casseroles for 35 campers

First, 30 campers need 6 casseroles. 35 campers is 30 + 5 campers. Since 5 campers need 1 casserole (from Step1), add 1 to 6: $6 + 1 = 7$. Wait, let's check with ratio. Let $x$ be casseroles for 35 campers. The ratio of casseroles to campers is constant: $\frac{3}{15}=\frac{x}{35}$. Cross - multiply: $15x = 3\times35 = 105$. Then $x=\frac{105}{15}=7$.

Filling the ratio table:

• Campers for 1 casserole: 5 (from Step1)
• Casseroles for 30 campers: 6 (from Step2)
• Casseroles for 35 campers: 7 (from Step3)

Answer:

Alberto should make 7 tuna casseroles.