Betty had $330 less than Neave. Neave spent 0.8 of his money and Betty spent 0.4 of her money. In the end, Neave and Betty had the same amount of money left. Find the amount of money Betty had at first.
| |
Betty |
Neave |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Neave's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Betty's amount left
= 1 -
25 =
35 The amount that Neave and Betty each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Neave's amount =
35 of Betty's amount
315 of Neave's amount =
35 of Betty's amount
Amount that Betty had less than Neave
= 15 u - 5 u
= 10 u
10 u = 330
1 u = 330 ÷ 10 = 33
Amount that Betty had at first
= 5 u
= 5 x 33
= $165
Answer(s): $165
