Question

You are making 75 mint chocolate bars and 45 caramel pecan bars for some gift boxes for your teachers. :) If each box will contain exactly the same bars, what is the greatest name number of gift boxes can you put together? How many off each bar will be in a gift box?

Answer 1

The greatest number of gift boxes that can be put together is 15, and each gift box will contain 5 mint chocolate bars and 3 caramel pecan bars.

Step-by-step explanation:

The question involves finding the greatest number of gift boxes that can be put together with an equal number of mint chocolate bars and caramel pecan bars in each one. This is a mathematics problem that requires the use of the greatest common divisor (GCD).

To solve this, first find the GCD of 75 mint chocolate bars and 45 caramel pecan bars. The GCD of 75 and 45 is 15. This means the greatest number of gift boxes that you can put together is 15. Then, to find the number of each type of bar in each gift box, divide the total number of each bar by the number of gift boxes:

• 75 mint chocolate bars ÷ 15 gift boxes = 5 mint chocolate bars per gift box,
• 45 caramel pecan bars ÷ 15 gift boxes = 3 caramel pecan bars per gift box.

Therefore, each gift box will contain 5 mint chocolate bars and 3 caramel pecan bars.

Answer 2

find the greatest common factor of 75 and 45
factor each
75=3*5*5
45=3*3*5
the greatest common factor is the common group to both or 3*5 or 15

you can make 15 boxes

75/15=5
45/15=3

15 boxes, each with 5 mint chocolate bars and 3 caramel bars