Rachel is 40% heavier than Lee. Jane is 30% lighter than Lee. Rachel is 42 kg heavier than Jane. What is Lee's mass?
| Rachel |
Lee |
Jane |
| 140% |
100% |
|
| |
100% |
70% |
| 14 u |
10 u |
7 u |
Rachel's mass compared to Lee's mass in percent
= 100% + 40%
= 140%
Jane's mass compared to Lee's mass in percent
= 100% - 30%
= 70%
140% =
140100 =
141070% =
70100 =
710Lee's mass is the repeated identity. Make Lee's mass the same.
Lee's mass = 10 u
Mass that Rachel has more than Jane
= 14 u - 7 u
= 7 u
7 u = 42
1 u = 42 ÷ 7 = 6
Lee's mass
= 10 u
= 10 x 6
= 60 kg
Answer(s): 60 kg
