Jane has a bag containing some gold and orange stamps. If she adds in 18 gold stamps, 10% of the stamps in the bag are orange. If she adds in another 48 orange stamps, 50% of the stamps in the bag are orange. How many gold stamps are in the bag?
| |
Gold stamps |
Orange stamps |
| Before |
9 u - 18 |
1 u |
| Change 1 |
+ 18 |
|
| After 1 |
9x1 =
9 u |
1x1 =
1 u |
| Change 2 |
|
+ 48 |
| After 2 |
1x9 =
9 u |
1x9 =
9 u |
10% =
10100 =
11050% =
50100 =
12The number of gold stamps remains unchanged at the second change when she adds in another 48 orange stamps. Make the number of gold stamps the same at the second change. LCM of 9 and 1 is 9.
Number of orange stamps added
= 9 u - 1 u
= 8 u
8 u = 48
1 u = 48 ÷ 8 = 6
Number of gold stamps at first
= 9 u - 18
= 9 x 6 - 18
= 54 - 18
= 36
Answer(s): 36
