Linda had $330 less than Caden. Caden spent 0.8 of his money and Linda spent 0.2 of her money. In the end, Caden and Linda had the same amount of money left. Find the amount of money Linda had at first.
| |
Linda |
Caden |
Difference |
| Before |
5 u |
20 u |
15 u |
| Change |
- 1 u |
- 4 u |
|
| After |
4 u |
4 u |
|
0.8 =
45 Fraction of Caden's amount left
= 1 -
45 =
15 0.2 =
15 Fraction of Linda's amount left
= 1 -
15 =
45 The amount that Caden and Linda each had in the end is the same. Make the numerators the same. LCM of 1 and 4 is 4.
15 of Caden's amount =
45 of Linda's amount
420 of Caden's amount =
45 of Linda's amount
Amount that Linda had less than Caden
= 20 u - 5 u
= 15 u
15 u = 330
1 u = 330 ÷ 15 = 22
Amount that Linda had at first
= 5 u
= 5 x 22
= $110
Answer(s): $110
