3 Felipe 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. Felipe 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 c.
c. How many cans are in a full case? How many cans are
in each of the 4 other cases? Show your work.

Question

09-01-2024
Mathematics

contestada

3 Felipe 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. Felipe 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 c.
c. How many cans are in a full case? How many cans are
in each of the 4 other cases? Show your work.

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Step-by-step explanation:

a. The expression that represents the number of cans in each case that is missing cans is: 4c - 20 (where c represents the number of cans in a full case).

b. The equation to find c is: 16c + 4(4c - 20) = 220

c. Solving for c:

16c + 16c - 80 = 220

32c - 80 = 220

32c = 300

c = 9.375

So, there are 9.375 cans in a full case, and each of the 4 other cases is missing 5 cans, making it 9.375 - 5 = 4.375 cans in each of those cases.