Fanny is 30% heavier than Asher. Fiona is 10% lighter than Asher. Fanny is 40 kg heavier than Fiona. What is Asher's mass?
| Fanny |
Asher |
Fiona |
| 130% |
100% |
|
| |
100% |
90% |
| 13 u |
10 u |
9 u |
Fanny's mass compared to Asher's mass in percent
= 100% + 30%
= 130%
Fiona's mass compared to Asher's mass in percent
= 100% - 10%
= 90%
130% =
130100 =
131090% =
90100 =
910Asher's mass is the repeated identity. Make Asher's mass the same.
Asher's mass = 10 u
Mass that Fanny has more than Fiona
= 13 u - 9 u
= 4 u
4 u = 40
1 u = 40 ÷ 4 = 10
Asher's mass
= 10 u
= 10 x 10
= 100 kg
Answer(s): 100 kg
