Olivia had $143 more than Esther. Olivia spent
58 of her money and Esther spent
67 of her money. In the end, Olivia had 4 times as much as Esther. Find the amount of money Esther had at first.
| |
Olivia |
Esther |
Comparing Olivia
and Esther at first |
$143 more |
|
| Before |
8x4 =
32 u |
7x3 =
21 u |
| Change |
- 5x4 =
- 20 u |
- 6x3 =
- 18 u |
| After |
3x4 =
12 u |
1x3 =
3 u |
Comparing Olivia
and Esther in the end |
4x3 =
12 u |
1x3 =
3 u |
The amount that Olivia had in the end is repeated. Make the amount that Olivia had in the end the same. LCM of 4 and 3 is 12.
Amount that Olivia had more than Esther
= 32 u - 21 u
= 11 u
11 u = 143
1 u = 143 ÷ 11 = 13
Amount that Esther had at first
= 21 u
= 21 x 13
= $273
Answer(s): $273
