Min and Elijah had a total of $266. After Min spent
18 of her money and Elijah spent $14, the ratio of Min's money to Kennenth's money became 1 : 4. How much money had Elijah at first?
| |
Min |
Elijah |
Total |
| Before |
8 u |
28 u + $14 |
$266 |
| Change |
- 1 u |
- $14 |
|
| After |
7 u |
|
|
Comparing Min and
Elijah in the end |
1x7 =
7 u |
4x7 =
28 u |
|
The amount that Min had in the end is repeated. Make the amount that Min had in the end the same. LCM of 7 and 1 is 7.
Total amount that Min and Elijah had at first
= 8 u + 28 u + 14
= 36 u + 14
36 u + 14 = 266
36 u = 266 - 14
36 u = 252
1 u = 252 ÷ 36 = 7
Amount that Elijah had at first
= 28 u + 14
= 28 x 7 + 14
= 196 + 14
= $210
Answer(s): $210
