Winnie had 3 times as much money as Henry. After Winnie spent
13 of her money and Henry spent
14 of his money, they had a total of $1133 left.
- How much money did Winnie and Henry have altogether at first?
- Henry spent 13 of his remaining money on a hoodie. What fraction of his original amount of money did he spend on the hoodie?
| |
Winnie |
Henry |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 1 u |
- 0.25 u |
|
| After |
2 u |
0.75 u |
$1133 |
(a)
Amount that Winnie spent
=
13 x 3 u
= 1 u
Amount that Henry spent
=
14 x 1 u
= 0.25 u
Amount that Winnie and Henry spent
= 1 u + 0.25 u
= 2.75 u
2.75 u = 1133
1 u = 1133 ÷ 2.75 = 412
Amount that Winnie and Henry had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 412
= $1648
(b)
Amount that Henry spent on the hoodie
=
13 x 0.75 u
= 0.25 u
Fraction of Henry's original amount that he spent on a hoodie
=
0.251 =
0.25 x 1001 x 100=
25100=
14 Answer(s): (a) $1648; (b)
14 
