Nora is 30% heavier than John. Vanessa is 20% lighter than John. Nora is 40 kg heavier than Vanessa. What is John's mass?
| Nora |
John |
Vanessa |
| 130% |
100% |
|
| |
100% |
80% |
| 13 u |
10 u |
8 u |
Nora's mass compared to John's mass in percent
= 100% + 30%
= 130%
Vanessa's mass compared to John's mass in percent
= 100% - 20%
= 80%
130% =
130100 =
131080% =
80100 =
810John's mass is the repeated identity. Make John's mass the same.
John's mass = 10 u
Mass that Nora has more than Vanessa
= 13 u - 8 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
John's mass
= 10 u
= 10 x 8
= 80 kg
Answer(s): 80 kg
