Gillian had 3 times as much money as Simon. After Gillian spent
12 of her money and Simon spent
35 of his money, they had a total of $1843 left.
- How much money did Gillian and Simon have altogether at first?
- Simon spent 45 of his remaining money on a skirt. What fraction of his original amount of money did he spend on the skirt?
| |
Gillian |
Simon |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 1.5 u |
- 0.6 u |
|
| After |
1.5 u |
0.4 u |
$1843 |
(a)
Amount that Gillian spent
=
12 x 3 u
= 1.5 u
Amount that Simon spent
=
35 x 1 u
= 0.6 u
Amount that Gillian and Simon spent
= 1.5 u + 0.6 u
= 1.9 u
1.9 u = 1843
1 u = 1843 ÷ 1.9 = 970
Amount that Gillian and Simon had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 970
= $3880
(b)
Amount that Simon spent on the skirt
=
45 x 0.4 u
= 0.32 u
Fraction of Simon's original amount that he spent on a skirt
=
0.321 =
0.32 x 1001 x 100=
32100=
825 Answer(s): (a) $3880; (b)
825 
