Tammy and Zane had a total of $28. After Tammy spent
57 of her money and Zane spent $2, the ratio of Tammy's money to Kennenth's money became 1 : 3. How much money had Zane at first?
| |
Tammy |
Zane |
Total |
| Before |
7 u |
6 u + $2 |
$28 |
| Change |
- 5 u |
- $2 |
|
| After |
2 u |
|
|
Comparing Tammy and
Zane in the end |
1x2 =
2 u |
3x2 =
6 u |
|
The amount that Tammy had in the end is repeated. Make the amount that Tammy had in the end the same. LCM of 2 and 1 is 2.
Total amount that Tammy and Zane had at first
= 7 u + 6 u + 2
= 13 u + 2
13 u + 2 = 28
13 u = 28 - 2
13 u = 26
1 u = 26 ÷ 13 = 2
Amount that Zane had at first
= 6 u + 2
= 6 x 2 + 2
= 12 + 2
= $14
Answer(s): $14
