Mark and Brandon had some allowance in the ratio of 5 : 9. They shared some money to buy a necklace for their cousin. The ratio of the amount paid by Mark to the amount paid by Brandon was 1 : 2. If Brandon was left with $66 and Mark had spent
35 of his money, how much was the necklace they bought?
| |
Mark |
Brandon |
| Before |
5 u |
9 u |
| Change |
- 3 u |
- 6 u |
Comparing the
amounts spent |
- 1x3 |
- 2x3 |
| After |
2 u |
66 |
The amount that Mark spent is repeated. Make the amount that Mark spent the same. LCM of 1 and 3 is 3.
Amount that Mark spent
=
35 x 5 u
= 3 u
Amount that Brandon spent
= 2 x 3 u
= 6 u
Amount that Brandon had left
= 9 u - 6 u
= 3 u
3 u = 66
1 u = 66 ÷ 3 = 22
Price of the necklace
= 3 u + 6 u
= 9 u
= 9 x 22
= $198
Answer(s): $198
