Lynn is 50% heavier than Tom. Irene is 20% lighter than Tom. Lynn is 56 kg heavier than Irene. What is Tom's mass?
| Lynn |
Tom |
Irene |
| 150% |
100% |
|
| |
100% |
80% |
| 15 u |
10 u |
8 u |
Lynn's mass compared to Tom's mass in percent
= 100% + 50%
= 150%
Irene's mass compared to Tom's mass in percent
= 100% - 20%
= 80%
150% =
150100 =
151080% =
80100 =
810Tom's mass is the repeated identity. Make Tom's mass the same.
Tom's mass = 10 u
Mass that Lynn has more than Irene
= 15 u - 8 u
= 7 u
7 u = 56
1 u = 56 ÷ 7 = 8
Tom's mass
= 10 u
= 10 x 8
= 80 kg
Answer(s): 80 kg
