Gillian is 50% heavier than Ryan. Mary is 30% lighter than Ryan. Gillian is 80 kg heavier than Mary. What is Ryan's mass?
| Gillian |
Ryan |
Mary |
| 150% |
100% |
|
| |
100% |
70% |
| 15 u |
10 u |
7 u |
Gillian's mass compared to Ryan's mass in percent
= 100% + 50%
= 150%
Mary's mass compared to Ryan's mass in percent
= 100% - 30%
= 70%
150% =
150100 =
151070% =
70100 =
710Ryan's mass is the repeated identity. Make Ryan's mass the same.
Ryan's mass = 10 u
Mass that Gillian has more than Mary
= 15 u - 7 u
= 8 u
8 u = 80
1 u = 80 ÷ 8 = 10
Ryan's mass
= 10 u
= 10 x 10
= 100 kg
Answer(s): 100 kg
