Ben had $430 more than Neave at first. Ben gave $90 to Neave. As a result, Neave has
27 as much money as Ben. How much money had each of them at first?
- Ben
- Neave
| |
Ben |
Neave |
More |
| Before |
7 u + $90 |
2 u - $90 |
$430 |
| Change |
- $90 |
+ $90 |
|
| After |
7 u |
2 u |
|
(a)
Ben had $430 more than Neave at first. If Neave received another $430, Ben and Neave would have the same amount at first.
7 u + 90 = 2 u - 90 + 430
7 u + 90 = 2 u + 340
7 u - 2 u = 340 - 90
5 u = 250
1 u = 250 ÷ 5 = 50
Amount that Ben had at first
= 7 u + 90
= 7 x 50 + 90
= 350 + 90
= $440
(b)
Amount that Neave had at first
= 2 u - 90
= 2 x 50 - 90
= 100 - 90
= $10
Answer(s): (a) $440; (b) $10
