Zara had $370 less than Ethan. Ethan spent 0.8 of his money and Zara spent 0.4 of her money. In the end, Ethan and Zara had the same amount of money left. Find the amount of money Zara had at first.
| |
Zara |
Ethan |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Ethan's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Zara's amount left
= 1 -
25 =
35 The amount that Ethan and Zara each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Ethan's amount =
35 of Zara's amount
315 of Ethan's amount =
35 of Zara's amount
Amount that Zara had less than Ethan
= 15 u - 5 u
= 10 u
10 u = 370
1 u = 370 ÷ 10 = 37
Amount that Zara had at first
= 5 u
= 5 x 37
= $185
Answer(s): $185
