Question

7 cases of crackers containing an unknown number of packages were purchased for the after-school program. When the boxes were opened, 5 packages were crushed and could not be used. The remaining packages were distributed to 8 group leaders. Each group got 9 packages of crackers. How many packages (p) were in each case?

A. p = 45
B. p = 56
C. p = 64
D. p = 72

Answer 1

There are 36 packages in each case.

Step-by-step explanation:

To find the number of packages (p) in each case, we can use the information given. We know that there were 7 cases of crackers and that 5 packages were crushed and could not be used. This means that there were 7 cases - 5 crushed packages = 2 cases of usable packages.

We also know that the remaining packages were distributed to 8 group leaders, with each group receiving 9 packages. So, the total number of usable packages is 8 group leaders * 9 packages per group = 72 packages.

Since there were 2 cases of usable packages, we can divide the total number of packages by the number of cases to find the number of packages in each case: 72 packages / 2 cases = 36 packages in each case.

Therefore, the correct answer is p = 36, which is not among the given options A, B, C, or D.