Jade's and Penelope's savings were in the ratio of 2 : 5. Both of them shared the cost of their uncle's gift equally. Jade's remaining savings was
15 as much as Penelope's savings. What percentage of her savings did Jade spend? Correct the answer to 1 decimal place.
|
Jade |
Penelope |
Difference |
Before |
2x4 = 8 u |
5x4 = 20 u |
3x4 = 12 u |
Change |
- 5 u |
- 5 u |
|
After |
1x3 = 3 u |
5x3 = 15 u |
4x3 = 12 u |
Since Jade and Penelope shared the cost of their uncle's gift equally, the amount each paid for the gift is the same.
So, the difference in the amounts between Jade and Penelope at first and in the end remains the same. Make the difference in the amounts between Jade and Penelope at first and in the end the same. LCM of 3 and 4 is 12.
Amount that Jade spent on the gift
= 8 u - 3 u
= 5 u
Percentage of her savings that Jade spent
=
58 x 100%
≈ 62.5%
Answer(s): 62.5%