George and Xavier have a total of $254. If George gives Xavier $21, they will each have an equal amount of money. How much money has each of them at first?
- George
- Xavier
|
George |
Xavier |
Total |
Before |
1 u + 21 |
1 u - 21 |
$254 |
Change |
- 21 |
+ 21 |
|
After |
1 u |
1 u |
$254 |
(a)
Total amount that George and Xavier have in the end
= 1 u + 1 u
= 2 u
2 u = 254
1 u = 254 ÷ 2 = 127
Amount that George has at first
= 1 u + 21
= 127 + 21
= $148
Amount that Xavier has at first
= 254 - 148
= $106
Answer(s): (a) $148; (b) $106