Shannon had 5 times as much money as David. After Shannon spent
14 of her money and David spent
45 of his money, they had a total of $1106 left.
- How much money did Shannon and David have altogether at first?
- David spent 310 of his remaining money on a blouse. What fraction of his original amount of money did he spend on the blouse?
| |
Shannon |
David |
Total |
| Before |
5 u |
1 u |
|
| Change |
- 1.25 u |
- 0.8 u |
|
| After |
3.75 u |
0.2 u |
$1106 |
(a)
Amount that Shannon spent
=
14 x 5 u
= 1.25 u
Amount that David spent
=
45 x 1 u
= 0.8 u
Amount that Shannon and David spent
= 1.25 u + 0.8 u
= 3.95 u
3.95 u = 1106
1 u = 1106 ÷ 3.95 = 280
Amount that Shannon and David had altogether at first
= 5 u + 1 u
= 6 u
= 6 x 280
= $1680
(b)
Amount that David spent on the blouse
=
310 x 0.2 u
= 0.06 u
Fraction of David's original amount that he spent on a blouse
=
0.061 =
0.06 x 1001 x 100=
6100=
350 Answer(s): (a) $1680; (b)
350 
