Erika is 25% heavier than Gabriel. Usha is 10% lighter than Gabriel. Erika is 21 kg heavier than Usha. What is Gabriel's mass?
| Erika |
Gabriel |
Usha |
| 125% |
100% |
|
| |
100% |
90% |
| 25 u |
20 u |
18 u |
Erika's mass compared to Gabriel's mass in percent
= 100% + 25%
= 125%
Usha's mass compared to Gabriel's mass in percent
= 100% - 10%
= 90%
125% =
125100 =
252090% =
90100 =
1820Gabriel's mass is the repeated identity. Make Gabriel's mass the same.
Gabriel's mass = 20 u
Mass that Erika has more than Usha
= 25 u - 18 u
= 7 u
7 u = 21
1 u = 21 ÷ 7 = 3
Gabriel's mass
= 20 u
= 20 x 3
= 60 kg
Answer(s): 60 kg
