Anna is 40% heavier than Zane. Lynn is 30% lighter than Zane. Anna is 49 kg heavier than Lynn. What is Zane's mass?
| Anna |
Zane |
Lynn |
| 140% |
100% |
|
| |
100% |
70% |
| 14 u |
10 u |
7 u |
Anna's mass compared to Zane's mass in percent
= 100% + 40%
= 140%
Lynn's mass compared to Zane's mass in percent
= 100% - 30%
= 70%
140% =
140100 =
141070% =
70100 =
710Zane's mass is the repeated identity. Make Zane's mass the same.
Zane's mass = 10 u
Mass that Anna has more than Lynn
= 14 u - 7 u
= 7 u
7 u = 49
1 u = 49 ÷ 7 = 7
Zane's mass
= 10 u
= 10 x 7
= 70 kg
Answer(s): 70 kg
