Winnie had 5 times as much money as Brandon. After Winnie spent
12 of her money and Brandon spent
14 of his money, they had a total of $2041 left.
- How much money did Winnie and Brandon have altogether at first?
- Brandon spent 13 of his remaining money on a skirt. What fraction of his original amount of money did he spend on the skirt?
| |
Winnie |
Brandon |
Total |
| Before |
5 u |
1 u |
|
| Change |
- 2.5 u |
- 0.25 u |
|
| After |
2.5 u |
0.75 u |
$2041 |
(a)
Amount that Winnie spent
=
12 x 5 u
= 2.5 u
Amount that Brandon spent
=
14 x 1 u
= 0.25 u
Amount that Winnie and Brandon spent
= 2.5 u + 0.25 u
= 3.25 u
3.25 u = 2041
1 u = 2041 ÷ 3.25 = 628
Amount that Winnie and Brandon had altogether at first
= 5 u + 1 u
= 6 u
= 6 x 628
= $3768
(b)
Amount that Brandon spent on the skirt
=
13 x 0.75 u
= 0.25 u
Fraction of Brandon's original amount that he spent on a skirt
=
0.251 =
0.25 x 1001 x 100=
25100=
14 Answer(s): (a) $3768; (b)
14 
