Jean is 50% heavier than David. Gillian is 20% lighter than David. Jean is 63 kg heavier than Gillian. What is David's mass?
| Jean |
David |
Gillian |
| 150% |
100% |
|
| |
100% |
80% |
| 15 u |
10 u |
8 u |
Jean's mass compared to David's mass in percent
= 100% + 50%
= 150%
Gillian's mass compared to David's mass in percent
= 100% - 20%
= 80%
150% =
150100 =
151080% =
80100 =
810David's mass is the repeated identity. Make David's mass the same.
David's mass = 10 u
Mass that Jean has more than Gillian
= 15 u - 8 u
= 7 u
7 u = 63
1 u = 63 ÷ 7 = 9
David's mass
= 10 u
= 10 x 9
= 90 kg
Answer(s): 90 kg
