Min had $300 less than Tommy. Tommy spent 0.8 of his money and Min spent 0.2 of her money. In the end, Tommy and Min had the same amount of money left. Find the amount of money Min had at first.
| |
Min |
Tommy |
Difference |
| Before |
5 u |
20 u |
15 u |
| Change |
- 1 u |
- 4 u |
|
| After |
4 u |
4 u |
|
0.8 =
45 Fraction of Tommy's amount left
= 1 -
45 =
15 0.2 =
15 Fraction of Min's amount left
= 1 -
15 =
45 The amount that Tommy and Min each had in the end is the same. Make the numerators the same. LCM of 1 and 4 is 4.
15 of Tommy's amount =
45 of Min's amount
420 of Tommy's amount =
45 of Min's amount
Amount that Min had less than Tommy
= 20 u - 5 u
= 15 u
15 u = 300
1 u = 300 ÷ 15 = 20
Amount that Min had at first
= 5 u
= 5 x 20
= $100
Answer(s): $100
