Diana had $300 less than Zane. Zane spent 0.8 of his money and Diana spent 0.3 of her money. In the end, Zane and Diana had the same amount of money left. Find the amount of money Diana had at first.
| |
Diana |
Zane |
Difference |
| Before |
10 u |
35 u |
25 u |
| Change |
- 1 u |
- 7 u |
|
| After |
7 u |
7 u |
|
0.8 =
45 Fraction of Zane's amount left
= 1 -
45 =
15 0.3 =
310 Fraction of Diana's amount left
= 1 -
310 =
710 The amount that Zane and Diana each had in the end is the same. Make the numerators the same. LCM of 1 and 7 is 7.
15 of Zane's amount =
710 of Diana's amount
735 of Zane's amount =
710 of Diana's amount
Amount that Diana had less than Zane
= 35 u - 10 u
= 25 u
25 u = 300
1 u = 300 ÷ 25 = 12
Amount that Diana had at first
= 10 u
= 10 x 12
= $120
Answer(s): $120
