Zara's and Penelope's savings were in the ratio of 4 : 7. Both of them shared the cost of their grandmother's present equally. Zara's remaining savings was
15 as much as Penelope's savings. What percentage of her savings did Zara spend? Correct the answer to 1 decimal place.
|
Zara |
Penelope |
Difference |
Before |
4x4 = 16 u |
7x4 = 28 u |
3x4 = 12 u |
Change |
- 13 u |
- 13 u |
|
After |
1x3 = 3 u |
5x3 = 15 u |
4x3 = 12 u |
Since Zara and Penelope shared the cost of their grandmother's present equally, the amount each paid for the present is the same.
So, the difference in the amounts between Zara and Penelope at first and in the end remains the same. Make the difference in the amounts between Zara and Penelope at first and in the end the same. LCM of 3 and 4 is 12.
Amount that Zara spent on the present
= 16 u - 3 u
= 13 u
Percentage of her savings that Zara spent
=
1316 x 100%
≈ 81.3%
Answer(s): 81.3%