Kathy had $66 less than Zara. Zara spent
35 of her money and Kathy spent
34 of her money. In the end, Zara had 4 times as much as Kathy. Find the amount of money Zara had at first.
|
Zara |
Kathy |
Comparing Zara and Kathy at first |
$66 more |
|
Before |
5x2 = 10 u |
4x1 = 4 u |
Change |
- 3x2 = - 6 u |
- 3x1 = - 3 u |
After |
2x2 = 4 u |
1x1 = 1 u |
Comparing Zara and Kathy in the end |
4x1 = 4 u |
1x1 = 1 u |
The amount that Zara had in the end is repeated. Make the amount that Zara had in the end the same. LCM of 4 and 2 is 4.
Amount that Kathy had less than Zara
= 10 u - 4 u
= 6 u
6 u = 66
1 u = 66 ÷ 6 = 11
Amount that Zara had at first
= 10 u
= 10 x 11
= $110
Answer(s): $110