Gem and Sam had a total of $261. After Gem spent
27 of her money and Sam spent $18, the ratio of Gem's money to Kennenth's money became 1 : 4. How much money had Sam at first?
| |
Gem |
Sam |
Total |
| Before |
7 u |
20 u + $18 |
$261 |
| Change |
- 2 u |
- $18 |
|
| After |
5 u |
|
|
Comparing Gem and
Sam in the end |
1x5 =
5 u |
4x5 =
20 u |
|
The amount that Gem had in the end is repeated. Make the amount that Gem had in the end the same. LCM of 5 and 1 is 5.
Total amount that Gem and Sam had at first
= 7 u + 20 u + 18
= 27 u + 18
27 u + 18 = 261
27 u = 261 - 18
27 u = 243
1 u = 243 ÷ 27 = 9
Amount that Sam had at first
= 20 u + 18
= 20 x 9 + 18
= 180 + 18
= $198
Answer(s): $198
