Hilda and Japheth had a total of $325. After Hilda spent
27 of her money and Japheth spent $5, the ratio of Hilda's money to Kennenth's money became 1 : 5. How much money had Japheth at first?
| |
Hilda |
Japheth |
Total |
| Before |
7 u |
25 u + $5 |
$325 |
| Change |
- 2 u |
- $5 |
|
| After |
5 u |
|
|
Comparing Hilda and
Japheth in the end |
1x5 =
5 u |
5x5 =
25 u |
|
The amount that Hilda had in the end is repeated. Make the amount that Hilda had in the end the same. LCM of 5 and 1 is 5.
Total amount that Hilda and Japheth had at first
= 7 u + 25 u + 5
= 32 u + 5
32 u + 5 = 325
32 u = 325 - 5
32 u = 320
1 u = 320 ÷ 32 = 10
Amount that Japheth had at first
= 25 u + 5
= 25 x 10 + 5
= 250 + 5
= $255
Answer(s): $255
