The ratio of the amount of money that Natalie and Xuan brought along was 3 : 4. For their brother's present, Natalie and Xuan shared the cost in the ratio of 3 : 2. Natalie used up
35 of her money to pay for her share. After paying for her share, Xuan had $182 left. How much was the present?
|
Natalie |
Xuan |
Before |
3 u |
4 u |
Change |
- 1.8 u |
- 1.2 u |
Comparing the cost shared between Natalie and Xuan |
- 3 p = - 1.8 u |
- 2 p = - 1.2 u |
After |
1.2 u |
182 |
Amount that Natalie spent on the present
=
35 x 3 u
= 1.8 u
3 p = 1.8 u
1 p = 1.8 u ÷ 3 = 0.6
2 p = 2 x 0.6 = 1.2 u
Amount that Xuan had left
= 4 u - 1.2 u
= 2.8 u
2.8 u = 182
1 u = 182 ÷ 2.8 = 65
Cost of the present
= 1.8 u + 1.2 u
= 3 u
= 3 x 65
= $195
Answer: $195