Mary and Ahmad had a total of $169. After Mary spent
27 of her money and Ahmad spent $15, the ratio of Mary's money to Kennenth's money became 1 : 3. How much money had Ahmad at first?
| |
Mary |
Ahmad |
Total |
| Before |
7 u |
15 u + $15 |
$169 |
| Change |
- 2 u |
- $15 |
|
| After |
5 u |
|
|
Comparing Mary and
Ahmad in the end |
1x5 =
5 u |
3x5 =
15 u |
|
The amount that Mary had in the end is repeated. Make the amount that Mary had in the end the same. LCM of 5 and 1 is 5.
Total amount that Mary and Ahmad had at first
= 7 u + 15 u + 15
= 22 u + 15
22 u + 15 = 169
22 u = 169 - 15
22 u = 154
1 u = 154 ÷ 22 = 7
Amount that Ahmad had at first
= 15 u + 15
= 15 x 7 + 15
= 105 + 15
= $120
Answer(s): $120
