Question

Two stores have a combined total of 210 teddy bears. After the first store sold 1/2 of its teddy bears and the second store sold 1/3 of its teddy bears, each store had the same number of teddy bears left. How many teddy bears were sold from the two stores combined?

What would the equation be? By using the strip diagram, 1/2 will still be 1/2, then 1/3 will be 2/3. So, the equation will be 1/2x + 2/3x = 210. Then 7/6x = 210. Then, 6/7 times 7/6x = 210 times 6/7. X=180. Then, 210-180=30.

Answer 1

yet again?
let
x = # in 1st store
y = # in 2nd store

x + y = 210
x/2 = 2y/3
or
x + y = 210
3x = 4y, so y = 3/4 x
x + 3/4 x = 210
7/4 x = 210
x = 120
so, y = 90

1/2 of 120 = 60
1/3 of 90 = 30
so, 90 bears were sold

Answer 2

Again, we are not supposed to do it that way

Answer 3

I don't know what this strip diagram is supposed to be, but the equation you need is not
1/2x + 2/3x = 210

There were 210 bears to start with
1/2x + 2/3x is the number that remain after the sales were done.

Answer 4

I’m not sure how you got that equation you had