A hotel manager is making identical hospitality bags for guests using 75 soap bars 45 bottles of lotion and 62 bottles of shampoo what is the greatest number of identical hospitality bags the manager can make with the least amount of items left over

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Complete Question

A hotel manager is making identical hospitality bags for guests using 75 soap bars 45 bottles of lotion and 65 bottles of shampoo what is the greatest number of identical hospitality bags the manager can make with the least amount of items left over

The greatest number of identical hospitality bags the manager can make is 5

With each bag containing:

15 soap bars

9 bottles of lotion

13 bottles of shampoo

Step-by-step explanation:

We solve this question using Greatest Common Factor Method

We find the factors of 45, 65 and 75

The factors of 45 are: 1, 3, 5, 9, 15, 45

The factors of 65 are: 1, 5, 13, 65

The factors of 75 are: 1, 3, 5, 15, 25, 75

Then the greatest common factor is 5.

Therefore, the greatest number of identical hospitality bags the manager can make is 5

And each bag would contain

For soap bars

75 soap bars/ 5 hospitality bags

= 15 soap bars

For bottles of lotion

45 bottles of lotion / 5 hospitality bags = 9 bottles of lotion

For bottles of shampoo

65 bottles of shampoo/5 hospitality bags

= 13 bottles of shampoo