Question

HELP! A daycare purchases two type of snacks, granola bars and fruit rolls. One week, they purchase 10 packs of granola bars and 6 packs of fruit rolls for a total of 152 snacks. The next week, they purchase 7 packs of granola bars and 12 packs of fruit rolls for a total of 200 snacks. How many snacks are in one pack of granola bars and one pack of fruit rolls?

Answer 1

10x+6y=152
5x+3y=76
7x+12y=200
-20x-12y=-304
-13x=-104
x=8
40+3y=76
3y=36
y=12
There are 8 granola bars in a pack and 12 fruit rolls in a pack

Answer 2

Answer: The number of granola bars in one pack = 8

The number of fruit rolls in one pack = 12

Explanation:

Let x be the number of granola bars in each pack and y be the number of fruit rolls in each pack .

Then according to the question we have the following system of equations :

`10x+6y=152.....................(1)\\7x+12y=200.......................(2)`

Multiply equation (1) by 2 we get

`20x+12y=304......................(3)`

Subtract equation (2) from equation (3), we get

`13x=104\\\\\Rigtarrow x=8`

Substitute x=8 in (1), we get

`10(8)+6y=152\\\\\Rightarrow6y=152-80\\\\\Rightarrow\ 6y=72\\\Rightarrow y=12`

Hence, the number of granola bars in one pack = 8

The number of fruit rolls in one pack = 12