Anna is 20% heavier than Henry. Sarah is 50% lighter than Henry. Anna is 63 kg heavier than Sarah. What is Henry's mass?
| Anna |
Henry |
Sarah |
| 120% |
100% |
|
| |
100% |
50% |
| 12 u |
10 u |
5 u |
Anna's mass compared to Henry's mass in percent
= 100% + 20%
= 120%
Sarah's mass compared to Henry's mass in percent
= 100% - 50%
= 50%
120% =
120100 =
121050% =
50100 =
510Henry's mass is the repeated identity. Make Henry's mass the same.
Henry's mass = 10 u
Mass that Anna has more than Sarah
= 12 u - 5 u
= 7 u
7 u = 63
1 u = 63 ÷ 7 = 9
Henry's mass
= 10 u
= 10 x 9
= 90 kg
Answer(s): 90 kg
