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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
Answer:
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
