Julie is 30% heavier than Michael. Kimberly is 50% lighter than Michael. Julie is 32 kg heavier than Kimberly. What is Michael's mass?
| Julie |
Michael |
Kimberly |
| 130% |
100% |
|
| |
100% |
50% |
| 13 u |
10 u |
5 u |
Julie's mass compared to Michael's mass in percent
= 100% + 30%
= 130%
Kimberly's mass compared to Michael's mass in percent
= 100% - 50%
= 50%
130% =
130100 =
131050% =
50100 =
510Michael's mass is the repeated identity. Make Michael's mass the same.
Michael's mass = 10 u
Mass that Julie has more than Kimberly
= 13 u - 5 u
= 8 u
8 u = 32
1 u = 32 ÷ 8 = 4
Michael's mass
= 10 u
= 10 x 4
= 40 kg
Answer(s): 40 kg
