There was an equal number of red and gold marbles in a bag at first. After 17 gold marbles were taken out and 29 red marbles were added into the bag, there was
13 as many gold marbles as red marbles. Find the number of gold marbles in the bag at first.
|
Red marbles |
Gold marbles |
Before |
3 u - 29 |
1 u + 17 |
Change |
+ 29 |
- 17 |
After |
3 u |
1 u |
The number of red and gold marbles in the bag is the same at first.
3 u - 29 = 1 u + 17
3 u - 1 u = 17 + 29
2 u = 46
1 u = 46 ÷ 2 = 23
Number of gold marbles at first
= 1 u + 17
= 23 + 17
= 40
Answer(s)40