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

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

The number of fruit rolls in one pack = 12

Step-by-step 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

Answer 2

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