Fiona has a bag containing some pink and orange stamps. If she removes 13 pink stamps, 25% of the stamps in the bag are orange. If she removes another 4 orange stamps, 10% of the stamps in the bag are orange. How many pink stamps are in the bag?
| |
Pink stamps |
Orange stamps |
| Before |
9 u + 13 |
3 u |
| Change 1 |
- 13 |
|
| After 1 |
3x3 =
9 u |
1x3 =
3 u |
| Change 2 |
|
- 4 |
| After 2 |
9x1 =
9 u |
1x1 =
1 u |
25% =
25100 =
1410% =
10100 =
110The number of pink stamps remains unchanged at the second change when she removes another 4 orange stamps. Make the number of pink stamps the same at the second change. LCM of 3 and 9 is 9.
Number of orange stamps removed
= 3 u - 1 u
= 2 u
2 u = 4
1 u = 4 ÷ 2 = 2
Number of pink stamps at first
= 9 u + 13
= 9 x 2 + 13
= 18 + 13
= 31
Answer(s): 31
