Gillian had 3 times as much money as Archie. After Gillian spent
15 of her money and Archie spent
45 of his money, they had a total of $1794 left.
- How much money did Gillian and Archie have altogether at first?
- Archie spent 25 of his remaining money on a hoodie. What fraction of his original amount of money did he spend on the hoodie?
|
Gillian |
Archie |
Total |
Before |
3 u |
1 u |
|
Change |
- 0.6 u |
- 0.8 u |
|
After |
2.4 u |
0.2 u |
$1794 |
(a)
Amount that Gillian spent
=
15 x 3 u
= 0.6 u
Amount that Archie spent
=
45 x 1 u
= 0.8 u
Amount that Gillian and Archie spent
= 0.6 u + 0.8 u
= 2.6 u
2.6 u = 1794
1 u = 1794 ÷ 2.6 = 690
Amount that Gillian and Archie had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 690
= $2760
(b)
Amount that Archie spent on the hoodie
=
25 x 0.2 u
= 0.08 u
Fraction of Archie's original amount that he spent on a hoodie
=
0.081 =
0.08 x 1001 x 100=
8100=
225 Answer(s): (a) $2760; (b)
225