Esther and Warren had a total of $209. After Esther spent
16 of her money and Warren spent $20, the ratio of Esther's money to Kennenth's money became 1 : 3. How much money had Warren at first?
| |
Esther |
Warren |
Total |
| Before |
6 u |
15 u + $20 |
$209 |
| Change |
- 1 u |
- $20 |
|
| After |
5 u |
|
|
Comparing Esther and
Warren in the end |
1x5 =
5 u |
3x5 =
15 u |
|
The amount that Esther had in the end is repeated. Make the amount that Esther had in the end the same. LCM of 5 and 1 is 5.
Total amount that Esther and Warren had at first
= 6 u + 15 u + 20
= 21 u + 20
21 u + 20 = 209
21 u = 209 - 20
21 u = 189
1 u = 189 ÷ 21 = 9
Amount that Warren had at first
= 15 u + 20
= 15 x 9 + 20
= 135 + 20
= $155
Answer(s): $155
