Raeann is 20% heavier than Eric. Jane is 40% lighter than Eric. Raeann is 9 kg heavier than Jane. What is Eric's mass?
| Raeann |
Eric |
Jane |
| 120% |
100% |
|
| |
100% |
60% |
| 6 u |
5 u |
3 u |
Raeann's mass compared to Eric's mass in percent
= 100% + 20%
= 120%
Jane's mass compared to Eric's mass in percent
= 100% - 40%
= 60%
120% =
120100 =
6560% =
60100 =
35Eric's mass is the repeated identity. Make Eric's mass the same.
Eric's mass = 5 u
Mass that Raeann has more than Jane
= 6 u - 3 u
= 3 u
3 u = 9
1 u = 9 ÷ 3 = 3
Eric's mass
= 5 u
= 5 x 3
= 15 kg
Answer(s): 15 kg
