The ratio of Tommy's coins to Charlotte's coins at first was 3 : 5. After Tommy gave Charlotte 52 coins, the ratio of Tommy's coins to Charlotte's coins is 1 : 3. What was the number of coins they had altogether?
|
Tommy |
Charlotte |
Total |
Before |
3x4 = 12 u |
5x4 = 20 u
|
8x4 = 32 u |
Change |
- 52 |
+ 52 |
|
After |
1x8 = 8 u |
3x8 = 24 u |
4x8 = 32 u |
Number of coins that Tommy gave Charlotte
= 12 u - 8 u
= 4 u
4 u = 52
1 u = 52 ÷ 4 = 13
Total number of coins that they had
= 32 u
= 32 x 13
= 416
Answer(s): 416