Jen and Tim had a total of $65. After Jen spent
58 of her money and Tim spent $14, the ratio of Jen's money to Kennenth's money became 1 : 3. How much money had Tim at first?
| |
Jen |
Tim |
Total |
| Before |
8 u |
9 u + $14 |
$65 |
| Change |
- 5 u |
- $14 |
|
| After |
3 u |
|
|
Comparing Jen and
Tim in the end |
1x3 =
3 u |
3x3 =
9 u |
|
The amount that Jen had in the end is repeated. Make the amount that Jen had in the end the same. LCM of 3 and 1 is 3.
Total amount that Jen and Tim had at first
= 8 u + 9 u + 14
= 17 u + 14
17 u + 14 = 65
17 u = 65 - 14
17 u = 51
1 u = 51 ÷ 17 = 3
Amount that Tim had at first
= 9 u + 14
= 9 x 3 + 14
= 27 + 14
= $41
Answer(s): $41
