Betty is 30% heavier than Asher. Vanessa is 50% lighter than Asher. Betty is 56 kg heavier than Vanessa. What is Asher's mass?
| Betty |
Asher |
Vanessa |
| 130% |
100% |
|
| |
100% |
50% |
| 13 u |
10 u |
5 u |
Betty's mass compared to Asher's mass in percent
= 100% + 30%
= 130%
Vanessa's mass compared to Asher's mass in percent
= 100% - 50%
= 50%
130% =
130100 =
131050% =
50100 =
510Asher's mass is the repeated identity. Make Asher's mass the same.
Asher's mass = 10 u
Mass that Betty has more than Vanessa
= 13 u - 5 u
= 8 u
8 u = 56
1 u = 56 ÷ 8 = 7
Asher's mass
= 10 u
= 10 x 7
= 70 kg
Answer(s): 70 kg
