Irene is 50% heavier than Ian. Rachel is 20% lighter than Ian. Irene is 63 kg heavier than Rachel. What is Ian's mass?
| Irene |
Ian |
Rachel |
| 150% |
100% |
|
| |
100% |
80% |
| 15 u |
10 u |
8 u |
Irene's mass compared to Ian's mass in percent
= 100% + 50%
= 150%
Rachel's mass compared to Ian's mass in percent
= 100% - 20%
= 80%
150% =
150100 =
151080% =
80100 =
810Ian's mass is the repeated identity. Make Ian's mass the same.
Ian's mass = 10 u
Mass that Irene has more than Rachel
= 15 u - 8 u
= 7 u
7 u = 63
1 u = 63 ÷ 7 = 9
Ian's mass
= 10 u
= 10 x 9
= 90 kg
Answer(s): 90 kg
