Elyse had $420 less than Tim. Tim spent 0.8 of his money and Elyse spent 0.2 of her money. In the end, Tim and Elyse had the same amount of money left. Find the amount of money Elyse had at first.
| |
Elyse |
Tim |
Difference |
| Before |
5 u |
20 u |
15 u |
| Change |
- 1 u |
- 4 u |
|
| After |
4 u |
4 u |
|
0.8 =
45 Fraction of Tim's amount left
= 1 -
45 =
15 0.2 =
15 Fraction of Elyse's amount left
= 1 -
15 =
45 The amount that Tim and Elyse each had in the end is the same. Make the numerators the same. LCM of 1 and 4 is 4.
15 of Tim's amount =
45 of Elyse's amount
420 of Tim's amount =
45 of Elyse's amount
Amount that Elyse had less than Tim
= 20 u - 5 u
= 15 u
15 u = 420
1 u = 420 ÷ 15 = 28
Amount that Elyse had at first
= 5 u
= 5 x 28
= $140
Answer(s): $140
