Xylia had 4 times as much money as Fabian. After Xylia spent
15 of her money and Fabian spent
45 of his money, they had a total of $2176 left.
- How much money did Xylia and Fabian have altogether at first?
- Fabian spent 34 of his remaining money on a cardigan. What fraction of his original amount of money did he spend on the cardigan?
| |
Xylia |
Fabian |
Total |
| Before |
4 u |
1 u |
|
| Change |
- 0.8 u |
- 0.8 u |
|
| After |
3.2 u |
0.2 u |
$2176 |
(a)
Amount that Xylia spent
=
15 x 4 u
= 0.8 u
Amount that Fabian spent
=
45 x 1 u
= 0.8 u
Amount that Xylia and Fabian spent
= 0.8 u + 0.8 u
= 3.4 u
3.4 u = 2176
1 u = 2176 ÷ 3.4 = 640
Amount that Xylia and Fabian had altogether at first
= 4 u + 1 u
= 5 u
= 5 x 640
= $3200
(b)
Amount that Fabian spent on the cardigan
=
34 x 0.2 u
= 0.15 u
Fraction of Fabian's original amount that he spent on a cardigan
=
0.151 =
0.15 x 1001 x 100=
15100=
320 Answer(s): (a) $3200; (b)
320 
