The ratio of Natalie's coins to Jeremiah's coins at first was 2 : 5. After Natalie gave Jeremiah 69 coins, the ratio of Natalie's coins to Jeremiah's coins is 1 : 4. What was the number of coins they had altogether?
|
Natalie |
Jeremiah |
Total |
Before |
2x5 = 10 u |
5x5 = 25 u
|
7x5 = 35 u |
Change |
- 69 |
+ 69 |
|
After |
1x7 = 7 u |
4x7 = 28 u |
5x7 = 35 u |
Number of coins that Natalie gave Jeremiah
= 10 u - 7 u
= 3 u
3 u = 69
1 u = 69 ÷ 3 = 23
Total number of coins that they had
= 35 u
= 35 x 23
= 805
Answer(s): 805