Gwen is 30% heavier than Fred. Esther is 40% lighter than Fred. Gwen is 63 kg heavier than Esther. What is Fred's mass?
| Gwen |
Fred |
Esther |
| 130% |
100% |
|
| |
100% |
60% |
| 13 u |
10 u |
6 u |
Gwen's mass compared to Fred's mass in percent
= 100% + 30%
= 130%
Esther's mass compared to Fred's mass in percent
= 100% - 40%
= 60%
130% =
130100 =
131060% =
60100 =
610Fred's mass is the repeated identity. Make Fred's mass the same.
Fred's mass = 10 u
Mass that Gwen has more than Esther
= 13 u - 6 u
= 7 u
7 u = 63
1 u = 63 ÷ 7 = 9
Fred's mass
= 10 u
= 10 x 9
= 90 kg
Answer(s): 90 kg
