Gem and Ryan had a total of $121. After Gem spent
13 of her money and Ryan spent $17, the ratio of Gem's money to Kennenth's money became 1 : 5. How much money had Ryan at first?
| |
Gem |
Ryan |
Total |
| Before |
3 u |
10 u + $17 |
$121 |
| Change |
- 1 u |
- $17 |
|
| After |
2 u |
|
|
Comparing Gem and
Ryan in the end |
1x2 =
2 u |
5x2 =
10 u |
|
The amount that Gem had in the end is repeated. Make the amount that Gem had in the end the same. LCM of 2 and 1 is 2.
Total amount that Gem and Ryan had at first
= 3 u + 10 u + 17
= 13 u + 17
13 u + 17 = 121
13 u = 121 - 17
13 u = 104
1 u = 104 ÷ 13 = 8
Amount that Ryan had at first
= 10 u + 17
= 10 x 8 + 17
= 80 + 17
= $97
Answer(s): $97
