Rachel is 50% heavier than Sam. Kylie is 20% lighter than Sam. Rachel is 42 kg heavier than Kylie. What is Sam's mass?
| Rachel |
Sam |
Kylie |
| 150% |
100% |
|
| |
100% |
80% |
| 15 u |
10 u |
8 u |
Rachel's mass compared to Sam's mass in percent
= 100% + 50%
= 150%
Kylie's mass compared to Sam's mass in percent
= 100% - 20%
= 80%
150% =
150100 =
151080% =
80100 =
810Sam's mass is the repeated identity. Make Sam's mass the same.
Sam's mass = 10 u
Mass that Rachel has more than Kylie
= 15 u - 8 u
= 7 u
7 u = 42
1 u = 42 ÷ 7 = 6
Sam's mass
= 10 u
= 10 x 6
= 60 kg
Answer(s): 60 kg
