Diana is 20% heavier than Oscar. Linda is 50% lighter than Oscar. Diana is 21 kg heavier than Linda. What is Oscar's mass?
| Diana |
Oscar |
Linda |
| 120% |
100% |
|
| |
100% |
50% |
| 12 u |
10 u |
5 u |
Diana's mass compared to Oscar's mass in percent
= 100% + 20%
= 120%
Linda's mass compared to Oscar's mass in percent
= 100% - 50%
= 50%
120% =
120100 =
121050% =
50100 =
510Oscar's mass is the repeated identity. Make Oscar's mass the same.
Oscar's mass = 10 u
Mass that Diana has more than Linda
= 12 u - 5 u
= 7 u
7 u = 21
1 u = 21 ÷ 7 = 3
Oscar's mass
= 10 u
= 10 x 3
= 30 kg
Answer(s): 30 kg
