The ratio of Michael's stamps to Hannah's stamps at first was 3 : 5. After Michael gave Hannah 56 stamps, the ratio of Michael's stamps to Hannah's stamps is 1 : 4. What was the number of stamps they had in total?
|
Michael |
Hannah |
Total |
Before |
3x5 = 15 u |
5x5 = 25 u
|
8x5 = 40 u |
Change |
- 56 |
+ 56 |
|
After |
1x8 = 8 u |
4x8 = 32 u |
5x8 = 40 u |
Number of stamps that Michael gave Hannah
= 15 u - 8 u
= 7 u
7 u = 56
1 u = 56 ÷ 7 = 8
Total number of stamps that they had
= 40 u
= 40 x 8
= 320
Answer(s): 320