Zara is 40% heavier than Rael. Xylia is 50% lighter than Rael. Zara is 27 kg heavier than Xylia. What is Rael's mass?
| Zara |
Rael |
Xylia |
| 140% |
100% |
|
| |
100% |
50% |
| 14 u |
10 u |
5 u |
Zara's mass compared to Rael's mass in percent
= 100% + 40%
= 140%
Xylia's mass compared to Rael's mass in percent
= 100% - 50%
= 50%
140% =
140100 =
141050% =
50100 =
510Rael's mass is the repeated identity. Make Rael's mass the same.
Rael's mass = 10 u
Mass that Zara has more than Xylia
= 14 u - 5 u
= 9 u
9 u = 27
1 u = 27 ÷ 9 = 3
Rael's mass
= 10 u
= 10 x 3
= 30 kg
Answer(s): 30 kg
