There were 7 times as many marbles in Box A as in Box B. After Joyce transferred 294 marbles from Box A to Box B, both boxes had the same number of marbles. How man marbles were there in Box A at first.

4 answers

a = 7b
a-294 = b+294

7b-294 = b+294
6b = 588
b = 98
so, a=7b=686

check: 686-294 = 98+294 = 392
To Steve;I don’t understand.how did you manage to get 588?
It ether 47 50 48 45
Steve got 588 by cancelling out 1 b
I'll break it down, try to follow.....
Example:
7b-294 = b+294
7b = b+294+294
7b = b+588
-------------------
6b = +588
588/6 = 98
1b = 98