There was an equal number of silver and gold marbles in a box at first. After 22 gold marbles were taken out and 36 silver marbles were added into the box, there was
13 as many gold marbles as silver marbles. Find the number of gold marbles in the box at first.
|
Silver marbles |
Gold marbles |
Before |
3 u - 36 |
1 u + 22 |
Change |
+ 36 |
- 22 |
After |
3 u |
1 u |
The number of silver and gold marbles in the box is the same at first.
3 u - 36 = 1 u + 22
3 u - 1 u = 22 + 36
2 u = 58
1 u = 58 ÷ 2 = 29
Number of gold marbles at first
= 1 u + 22
= 29 + 22
= 51
Answer(s)51