Question

3. Victoria counts this week's food donations at a pet shelter. There are 16 full cases of canned food. There are 4 cases of canned food that are missing 5 cans. Victoria records a total of 220 cans of food. Use c to represent the number of cans in a full case. What expression could represent the number of cans in each case that is missing cans?​

Answer 1

16c + 4(c-5) = 220

Explanation:

Answer 2

We know that C is the total number of cans in a complete case.

Victoria counts:

16 full cases, so in those we have: 16*C cans.

4 cases with 5 missing cans, so in those we have:

Then if each case has C cans, the cases that are missing 5 cans have:

C - 5 cans.

Then in those four cases we have a total of: 4*(C - 5) cans.

And Victoria knows that there are 220 cans, then we have that:

16*C + 4*(C - 5) = 220

16*C + 4*C - 20 = 220

16*C + 4*C = 220 + 20 = 240

20*C = 240

C = 240/20 = 12

Then each case has 12 cans.

Then the number of cans in the cases with missing cans is:

12 cans - 5 cans = 7 cans.