Sarah had $180 more than Zara. Sarah spent
37 of her money and Zara spent
34 of her money. In the end, Sarah had 3 times as much as Zara. Find the amount of money Zara had at first.
| |
Sarah |
Zara |
Comparing Sarah
and Zara at first |
$180 more |
|
| Before |
7x3 =
21 u |
4x4 =
16 u |
| Change |
- 3x3 =
- 9 u |
- 3x4 =
- 12 u |
| After |
4x3 =
12 u |
1x4 =
4 u |
Comparing Sarah
and Zara in the end |
3x4 =
12 u |
1x4 =
4 u |
The amount that Sarah had in the end is repeated. Make the amount that Sarah had in the end the same. LCM of 3 and 4 is 12.
Amount that Sarah had more than Zara
= 21 u - 16 u
= 5 u
5 u = 180
1 u = 180 ÷ 5 = 36
Amount that Zara had at first
= 16 u
= 16 x 36
= $576
Answer(s): $576
