The ratio of Charlotte's coins to Josiah's coins at first was 2 : 5. After Charlotte gave Josiah 111 coins, the ratio of Charlotte's coins to Josiah's coins is 1 : 4. What was the number of coins they had in all?
|
Charlotte |
Josiah |
Total |
Before |
2x5 = 10 u |
5x5 = 25 u
|
7x5 = 35 u |
Change |
- 111 |
+ 111 |
|
After |
1x7 = 7 u |
4x7 = 28 u |
5x7 = 35 u |
Number of coins that Charlotte gave Josiah
= 10 u - 7 u
= 3 u
3 u = 111
1 u = 111 ÷ 3 = 37
Total number of coins that they had
= 35 u
= 35 x 37
= 1295
Answer(s): 1295