Grocery Shopping
Algebra
Level
2
Kensi and Kyle go grocery shopping together. On the way back home, while struggling with her bags, Kensi says "Hey, if you gave me a bag, I would hold twice as much as you carry. But if I gave you one of mine, we would be carrying the same amount!" How many bags is Kyle carrying?
7
5
1
3
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
Let Kyle carry x bags and Kensi y bags.
If Kyle gives Kensi a bag, they have x − 1 bags and y + 1 bags respectively so 2 ( x − 1 ) = y + 1 so 2 x − 2 = y + 1 or y = 2 x − 3 .
If Kensi gives Kyle a bag, they have x + 1 bags and y − 1 respectively so x + 1 = y − 1 or y = x + 2 .
Comparing the two equations,
2 x − 3 = x + 2
( 2 − 1 ) x = 3 + 2
x = 5