Opal had $300 less than Valen. Valen spent 0.7 of his money and Opal spent 0.2 of her money. In the end, Valen and Opal had the same amount of money left. Find the amount of money Opal had at first.
| |
Opal |
Valen |
Difference |
| Before |
15 u |
40 u |
25 u |
| Change |
- 3 u |
- 4 u |
|
| After |
12 u |
12 u |
|
0.7 =
710 Fraction of Valen's amount left
= 1 -
710 =
310 0.2 =
15 Fraction of Opal's amount left
= 1 -
15 =
45 The amount that Valen and Opal each had in the end is the same. Make the numerators the same. LCM of 3 and 4 is 12.
310 of Valen's amount =
45 of Opal's amount
1240 of Valen's amount =
1215 of Opal's amount
Amount that Opal had less than Valen
= 40 u - 15 u
= 25 u
25 u = 300
1 u = 300 ÷ 25 = 12
Amount that Opal had at first
= 15 u
= 15 x 12
= $180
Answer(s): $180
