Tina is 20% heavier than Asher. Erika is 10% lighter than Asher. Tina is 30 kg heavier than Erika. What is Asher's mass?
| Tina |
Asher |
Erika |
| 120% |
100% |
|
| |
100% |
90% |
| 12 u |
10 u |
9 u |
Tina's mass compared to Asher's mass in percent
= 100% + 20%
= 120%
Erika's mass compared to Asher's mass in percent
= 100% - 10%
= 90%
120% =
120100 =
121090% =
90100 =
910Asher's mass is the repeated identity. Make Asher's mass the same.
Asher's mass = 10 u
Mass that Tina has more than Erika
= 12 u - 9 u
= 3 u
3 u = 30
1 u = 30 ÷ 3 = 10
Asher's mass
= 10 u
= 10 x 10
= 100 kg
Answer(s): 100 kg
