Marion is 25% heavier than Tom. Yoko is 50% lighter than Tom. Marion is 18 kg heavier than Yoko. What is Tom's mass?
| Marion |
Tom |
Yoko |
| 125% |
100% |
|
| |
100% |
50% |
| 5 u |
4 u |
2 u |
Marion's mass compared to Tom's mass in percent
= 100% + 25%
= 125%
Yoko's mass compared to Tom's mass in percent
= 100% - 50%
= 50%
125% =
125100 =
5450% =
50100 =
24Tom's mass is the repeated identity. Make Tom's mass the same.
Tom's mass = 4 u
Mass that Marion has more than Yoko
= 5 u - 2 u
= 3 u
3 u = 18
1 u = 18 ÷ 3 = 6
Tom's mass
= 4 u
= 4 x 6
= 24 kg
Answer(s): 24 kg
