Jen is 50% heavier than Peter. Nora is 25% lighter than Peter. Jen is 12 kg heavier than Nora. What is Peter's mass?
| Jen |
Peter |
Nora |
| 150% |
100% |
|
| |
100% |
75% |
| 6 u |
4 u |
3 u |
Jen's mass compared to Peter's mass in percent
= 100% + 50%
= 150%
Nora's mass compared to Peter's mass in percent
= 100% - 25%
= 75%
150% =
150100 =
6475% =
75100 =
34Peter's mass is the repeated identity. Make Peter's mass the same.
Peter's mass = 4 u
Mass that Jen has more than Nora
= 6 u - 3 u
= 3 u
3 u = 12
1 u = 12 ÷ 3 = 4
Peter's mass
= 4 u
= 4 x 4
= 16 kg
Answer(s): 16 kg
