A father counts that there are 16 granola bars in the cupboard before he goes to the store. He buys x number of boxes of granola bars and adds them to the cupboard. He counts that there are now 36 granola bars in the cupboard.
If the boxes have 4 bars in each of them, how many boxes of granola bars did he buy?
If the boxes have 5 bars in each of them, how many boxes of granola bars did he buy?
Which expression could the father use to show the total number of granola bars in the cupboard if each box had 10 granola bars in it?
Using the following variables:
g = the total number of granola bars in the cupboard
x = the number of boxes of granola bars purchased
b = the number of bars in each box
c = the number of bars in the cupboard BEFORE he goes to the store
Which could be used as a general equation to calculate the total number of granola bars in the cupboard after the father goes to the store?
To find the number of boxes of granola bars the father bought, we can set up the equation:
16 + 4x = 36
Subtracting 16 from both sides:
4x = 20
Dividing both sides by 4:
x = 5
Therefore, the father bought 5 boxes of granola bars.
If the boxes have 5 bars in each, the equation would be:
16 + 5x = 36
Subtracting 16 from both sides:
5x = 20
Dividing both sides by 5:
x = 4
Therefore, the father bought 4 boxes of granola bars.
For the total number of granola bars in the cupboard if each box had 10 bars, the expression is:
g = c + 10x
The general equation to calculate the total number of granola bars in the cupboard after the father goes to the store would be:
g = c + bx