Opal is 50% heavier than Rael. Lucy is 10% lighter than Rael. Opal is 12 kg heavier than Lucy. What is Rael's mass?
| Opal |
Rael |
Lucy |
| 150% |
100% |
|
| |
100% |
90% |
| 15 u |
10 u |
9 u |
Opal's mass compared to Rael's mass in percent
= 100% + 50%
= 150%
Lucy's mass compared to Rael's mass in percent
= 100% - 10%
= 90%
150% =
150100 =
151090% =
90100 =
910Rael's mass is the repeated identity. Make Rael's mass the same.
Rael's mass = 10 u
Mass that Opal has more than Lucy
= 15 u - 9 u
= 6 u
6 u = 12
1 u = 12 ÷ 6 = 2
Rael's mass
= 10 u
= 10 x 2
= 20 kg
Answer(s): 20 kg
