Gillian is 20% heavier than Bryan. Jade is 50% lighter than Bryan. Gillian is 56 kg heavier than Jade. What is Bryan's mass?
| Gillian |
Bryan |
Jade |
| 120% |
100% |
|
| |
100% |
50% |
| 12 u |
10 u |
5 u |
Gillian's mass compared to Bryan's mass in percent
= 100% + 20%
= 120%
Jade's mass compared to Bryan's mass in percent
= 100% - 50%
= 50%
120% =
120100 =
121050% =
50100 =
510Bryan's mass is the repeated identity. Make Bryan's mass the same.
Bryan's mass = 10 u
Mass that Gillian has more than Jade
= 12 u - 5 u
= 7 u
7 u = 56
1 u = 56 ÷ 7 = 8
Bryan's mass
= 10 u
= 10 x 8
= 80 kg
Answer(s): 80 kg
