Emma is 10% heavier than Rael. Yen is 25% lighter than Rael. Emma is 14 kg heavier than Yen. What is Rael's mass?
| Emma |
Rael |
Yen |
| 110% |
100% |
|
| |
100% |
75% |
| 22 u |
20 u |
15 u |
Emma's mass compared to Rael's mass in percent
= 100% + 10%
= 110%
Yen's mass compared to Rael's mass in percent
= 100% - 25%
= 75%
110% =
110100 =
222075% =
75100 =
1520Rael's mass is the repeated identity. Make Rael's mass the same.
Rael's mass = 20 u
Mass that Emma has more than Yen
= 22 u - 15 u
= 7 u
7 u = 14
1 u = 14 ÷ 7 = 2
Rael's mass
= 20 u
= 20 x 2
= 40 kg
Answer(s): 40 kg
