Mary is 10% heavier than Peter. Xuan is 50% lighter than Peter. Mary is 30 kg heavier than Xuan. What is Peter's mass?
| Mary |
Peter |
Xuan |
| 110% |
100% |
|
| |
100% |
50% |
| 11 u |
10 u |
5 u |
Mary's mass compared to Peter's mass in percent
= 100% + 10%
= 110%
Xuan's mass compared to Peter's mass in percent
= 100% - 50%
= 50%
110% =
110100 =
111050% =
50100 =
510Peter's mass is the repeated identity. Make Peter's mass the same.
Peter's mass = 10 u
Mass that Mary has more than Xuan
= 11 u - 5 u
= 6 u
6 u = 30
1 u = 30 ÷ 6 = 5
Peter's mass
= 10 u
= 10 x 5
= 50 kg
Answer(s): 50 kg
