Raeann and Tom had a total of $40. After Raeann spent
13 of her money and Tom spent $18, the ratio of Raeann's money to Kennenth's money became 1 : 4. How much money had Tom at first?
| |
Raeann |
Tom |
Total |
| Before |
3 u |
8 u + $18 |
$40 |
| Change |
- 1 u |
- $18 |
|
| After |
2 u |
|
|
Comparing Raeann and
Tom in the end |
1x2 =
2 u |
4x2 =
8 u |
|
The amount that Raeann had in the end is repeated. Make the amount that Raeann had in the end the same. LCM of 2 and 1 is 2.
Total amount that Raeann and Tom had at first
= 3 u + 8 u + 18
= 11 u + 18
11 u + 18 = 40
11 u = 40 - 18
11 u = 22
1 u = 22 ÷ 11 = 2
Amount that Tom had at first
= 8 u + 18
= 8 x 2 + 18
= 16 + 18
= $34
Answer(s): $34
