Winnie is 40% heavier than Daniel. Kimberly is 50% lighter than Daniel. Winnie is 90 kg heavier than Kimberly. What is Daniel's mass?
| Winnie |
Daniel |
Kimberly |
| 140% |
100% |
|
| |
100% |
50% |
| 14 u |
10 u |
5 u |
Winnie's mass compared to Daniel's mass in percent
= 100% + 40%
= 140%
Kimberly's mass compared to Daniel's mass in percent
= 100% - 50%
= 50%
140% =
140100 =
141050% =
50100 =
510Daniel's mass is the repeated identity. Make Daniel's mass the same.
Daniel's mass = 10 u
Mass that Winnie has more than Kimberly
= 14 u - 5 u
= 9 u
9 u = 90
1 u = 90 ÷ 9 = 10
Daniel's mass
= 10 u
= 10 x 10
= 100 kg
Answer(s): 100 kg
