Neave and Fred had $400 altogether. After Neave spent
13 of his money and Fred spent
45 of his money, Neave was left with five times as much money as Fred. How much money did Fred have at first?
| |
Neave |
Fred |
Total |
| Before |
3x5 =
15 u |
5x2 =
10 u |
$400 |
| Change |
- 1x5 =
- 5 u |
- 4x2 =
- 8 u |
|
| After |
2x5 =
10 u |
1x2 =
2 u |
|
Comparing Neave
and Fred in the end |
5x2 =
10 u |
1x2 =
2 u |
|
The amount that Neave had in the end is repeated. Make the amount that Neave had in the end the same. LCM of 2 and 5 is 10.
Total amount that Neave and Fred had at first
= 15 u + 10 u
= 25 u
25 u = 400
1 u = 400 ÷ 25 = 16
Amount that Fred had at first
= 10 u
= 10 x 16
= $160
Answer(s): $160
