Gem is 20% heavier than Liam. Raeann is 30% lighter than Liam. Gem is 45 kg heavier than Raeann. What is Liam's mass?
| Gem |
Liam |
Raeann |
| 120% |
100% |
|
| |
100% |
70% |
| 12 u |
10 u |
7 u |
Gem's mass compared to Liam's mass in percent
= 100% + 20%
= 120%
Raeann's mass compared to Liam's mass in percent
= 100% - 30%
= 70%
120% =
120100 =
121070% =
70100 =
710Liam's mass is the repeated identity. Make Liam's mass the same.
Liam's mass = 10 u
Mass that Gem has more than Raeann
= 12 u - 7 u
= 5 u
5 u = 45
1 u = 45 ÷ 5 = 9
Liam's mass
= 10 u
= 10 x 9
= 90 kg
Answer(s): 90 kg
