Esther had $252 less than Abi. Abi spent
37 of her money and Esther spent
23 of her money. In the end, Abi had 3 times as much as Esther. Find the amount of money Abi had at first.
| |
Abi |
Esther |
Comparing Abi
and Esther at first |
$252 more |
|
| Before |
7x3 =
21 u |
3x4 =
12 u |
| Change |
- 3x3 =
- 9 u |
- 2x4 =
- 8 u |
| After |
4x3 =
12 u |
1x4 =
4 u |
Comparing Abi
and Esther in the end |
3x4 =
12 u |
1x4 =
4 u |
The amount that Abi had in the end is repeated. Make the amount that Abi had in the end the same. LCM of 3 and 4 is 12.
Amount that Esther had less than Abi
= 21 u - 12 u
= 9 u
9 u = 252
1 u = 252 ÷ 9 = 28
Amount that Abi had at first
= 21 u
= 21 x 28
= $588
Answer(s): $588
