Shiyun and Ahmad had a total of $162. After Shiyun spent
18 of her money and Ahmad spent $12, the ratio of Shiyun's money to Kennenth's money became 1 : 6. How much money had Ahmad at first?
| |
Shiyun |
Ahmad |
Total |
| Before |
8 u |
42 u + $12 |
$162 |
| Change |
- 1 u |
- $12 |
|
| After |
7 u |
|
|
Comparing Shiyun and
Ahmad in the end |
1x7 =
7 u |
6x7 =
42 u |
|
The amount that Shiyun had in the end is repeated. Make the amount that Shiyun had in the end the same. LCM of 7 and 1 is 7.
Total amount that Shiyun and Ahmad had at first
= 8 u + 42 u + 12
= 50 u + 12
50 u + 12 = 162
50 u = 162 - 12
50 u = 150
1 u = 150 ÷ 50 = 3
Amount that Ahmad had at first
= 42 u + 12
= 42 x 3 + 12
= 126 + 12
= $138
Answer(s): $138
