Question

Victonia 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 each missing 5 cans. Victoria records a total of 220 cans of food.

a. 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?

b. Write an equation you could use to find 16 full cases of canned food 220 cams of food

C. How many cans are in a full case? How many cans are in each of the 4 other cases?
Show your work ​

Answer 1

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.

Explanation:

Hope this helps!!!!!!!! :D