Betty had $400 less than Rael. Rael spent 0.8 of his money and Betty spent 0.3 of her money. In the end, Rael and Betty had the same amount of money left. Find the amount of money Betty had at first.
| |
Betty |
Rael |
Difference |
| Before |
10 u |
35 u |
25 u |
| Change |
- 1 u |
- 7 u |
|
| After |
7 u |
7 u |
|
0.8 =
45 Fraction of Rael's amount left
= 1 -
45 =
15 0.3 =
310 Fraction of Betty's amount left
= 1 -
310 =
710 The amount that Rael and Betty each had in the end is the same. Make the numerators the same. LCM of 1 and 7 is 7.
15 of Rael's amount =
710 of Betty's amount
735 of Rael's amount =
710 of Betty's amount
Amount that Betty had less than Rael
= 35 u - 10 u
= 25 u
25 u = 400
1 u = 400 ÷ 25 = 16
Amount that Betty had at first
= 10 u
= 10 x 16
= $160
Answer(s): $160
