Roshel is 10% heavier than Ivan. Barbara is 30% lighter than Ivan. Roshel is 8 kg heavier than Barbara. What is Ivan's mass?
| Roshel |
Ivan |
Barbara |
| 110% |
100% |
|
| |
100% |
70% |
| 11 u |
10 u |
7 u |
Roshel's mass compared to Ivan's mass in percent
= 100% + 10%
= 110%
Barbara's mass compared to Ivan's mass in percent
= 100% - 30%
= 70%
110% =
110100 =
111070% =
70100 =
710Ivan's mass is the repeated identity. Make Ivan's mass the same.
Ivan's mass = 10 u
Mass that Roshel has more than Barbara
= 11 u - 7 u
= 4 u
4 u = 8
1 u = 8 ÷ 4 = 2
Ivan's mass
= 10 u
= 10 x 2
= 20 kg
Answer(s): 20 kg
