Question

A salesclerk is creating a display of 14 polo shirts and 56 team shirts. Only one type of shirt can be in each row. What is the maximum number of shirts in each row so that all the rows are equal in length? 7 12 14 24

Answer 1

C: 14

Explanation:

Polo Shirts: 14

Team Shirts: 56

Add the number of shirts together. So, 14+56=70

So we have a total of 70 shirts. Option B, which is "12, won't work because the factors of twelve are 12, 24, 36, 48, 60, 72, 84. Option D, which is "24" won't work because the factors are 24, 48, 72.

So we are left with A, "7" or C, "14"

If you were to choose A (7) you're going to have to put 10 shirts in each row.

If you were to choose C (14) you're going to have to put 5 shirts in each row.

Since it says the maximum number of shirts in a row, it would have to be C, "14"

Hope this helps!!!!

Answer 2

14

Explanation:

Given:

• 14 polo shirts.
• 56 team shirts.

If only one type of shirt can be in each row, the maximum number of shirts in each row is the greatest common factor (GCF) of 14 and 56.

Factors of 14: 1, 2, 7 and 14.

Factors of 56: 1, 2, 4, 7, 8, 14, 28 and 56.

The GCF of the two numbers is 14.

Therefore, the maximum number of shirts in each row is 14.