Tiffany and Japheth had a total of $321. After Tiffany spent
18 of her money and Japheth spent $20, the ratio of Tiffany's money to Kennenth's money became 1 : 5. How much money had Japheth at first?
| |
Tiffany |
Japheth |
Total |
| Before |
8 u |
35 u + $20 |
$321 |
| Change |
- 1 u |
- $20 |
|
| After |
7 u |
|
|
Comparing Tiffany and
Japheth in the end |
1x7 =
7 u |
5x7 =
35 u |
|
The amount that Tiffany had in the end is repeated. Make the amount that Tiffany had in the end the same. LCM of 7 and 1 is 7.
Total amount that Tiffany and Japheth had at first
= 8 u + 35 u + 20
= 43 u + 20
43 u + 20 = 321
43 u = 321 - 20
43 u = 301
1 u = 301 ÷ 43 = 7
Amount that Japheth had at first
= 35 u + 20
= 35 x 7 + 20
= 245 + 20
= $265
Answer(s): $265
