Fiona is 20% heavier than Perry. Linda is 40% lighter than Perry. Fiona is 6 kg heavier than Linda. What is Perry's mass?
| Fiona |
Perry |
Linda |
| 120% |
100% |
|
| |
100% |
60% |
| 6 u |
5 u |
3 u |
Fiona's mass compared to Perry's mass in percent
= 100% + 20%
= 120%
Linda's mass compared to Perry's mass in percent
= 100% - 40%
= 60%
120% =
120100 =
6560% =
60100 =
35Perry's mass is the repeated identity. Make Perry's mass the same.
Perry's mass = 5 u
Mass that Fiona has more than Linda
= 6 u - 3 u
= 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Perry's mass
= 5 u
= 5 x 2
= 10 kg
Answer(s): 10 kg
