Rachel had 3 times as much money as Riordan. After Rachel spent
13 of her money and Riordan spent
35 of his money, they had a total of $1356 left.
- How much money did Rachel and Riordan have altogether at first?
- Riordan spent 45 of his remaining money on a cardigan. What fraction of his original amount of money did he spend on the cardigan?
| |
Rachel |
Riordan |
Total |
| Before |
3 u |
1 u |
|
| Change |
- 1 u |
- 0.6 u |
|
| After |
2 u |
0.4 u |
$1356 |
(a)
Amount that Rachel spent
=
13 x 3 u
= 1 u
Amount that Riordan spent
=
35 x 1 u
= 0.6 u
Amount that Rachel and Riordan spent
= 1 u + 0.6 u
= 2.4 u
2.4 u = 1356
1 u = 1356 ÷ 2.4 = 565
Amount that Rachel and Riordan had altogether at first
= 3 u + 1 u
= 4 u
= 4 x 565
= $2260
(b)
Amount that Riordan spent on the cardigan
=
45 x 0.4 u
= 0.32 u
Fraction of Riordan's original amount that he spent on a cardigan
=
0.321 =
0.32 x 1001 x 100=
32100=
825 Answer(s): (a) $2260; (b)
825 
