Hilda and Charlie had a total of $246. After Hilda spent
37 of her money and Charlie spent $16, the ratio of Hilda's money to Kennenth's money became 1 : 4. How much money had Charlie at first?
| |
Hilda |
Charlie |
Total |
| Before |
7 u |
16 u + $16 |
$246 |
| Change |
- 3 u |
- $16 |
|
| After |
4 u |
|
|
Comparing Hilda and
Charlie in the end |
1x4 =
4 u |
4x4 =
16 u |
|
The amount that Hilda had in the end is repeated. Make the amount that Hilda had in the end the same. LCM of 4 and 1 is 4.
Total amount that Hilda and Charlie had at first
= 7 u + 16 u + 16
= 23 u + 16
23 u + 16 = 246
23 u = 246 - 16
23 u = 230
1 u = 230 ÷ 23 = 10
Amount that Charlie had at first
= 16 u + 16
= 16 x 10 + 16
= 160 + 16
= $176
Answer(s): $176
