The ratio of Grace's stamps to Isabella's stamps at first was 3 : 5. After Grace gave Isabella 77 stamps, the ratio of Grace's stamps to Isabella's stamps is 1 : 4. What was the number of stamps they had altogether?
|
Grace |
Isabella |
Total |
Before |
3x5 = 15 u |
5x5 = 25 u
|
8x5 = 40 u |
Change |
- 77 |
+ 77 |
|
After |
1x8 = 8 u |
4x8 = 32 u |
5x8 = 40 u |
Number of stamps that Grace gave Isabella
= 15 u - 8 u
= 7 u
7 u = 77
1 u = 77 ÷ 7 = 11
Total number of stamps that they had
= 40 u
= 40 x 11
= 440
Answer(s): 440