There was an equal number of purple and gold marbles in a box at first. After 11 gold marbles were taken out and 40 purple marbles were added into the box, there was
14 as many gold marbles as purple marbles. Find the number of gold marbles in the box at first.
|
Purple marbles |
Gold marbles |
Before |
4 u - 40 |
1 u + 11 |
Change |
+ 40 |
- 11 |
After |
4 u |
1 u |
The number of purple and gold marbles in the box is the same at first.
4 u - 40 = 1 u + 11
4 u - 1 u = 11 + 40
3 u = 51
1 u = 51 ÷ 3 = 17
Number of gold marbles at first
= 1 u + 11
= 17 + 11
= 28
Answer(s)28