Gwen is 40% heavier than Carl. Joelle is 20% lighter than Carl. Gwen is 21 kg heavier than Joelle. What is Carl's mass?
| Gwen |
Carl |
Joelle |
| 140% |
100% |
|
| |
100% |
80% |
| 7 u |
5 u |
4 u |
Gwen's mass compared to Carl's mass in percent
= 100% + 40%
= 140%
Joelle's mass compared to Carl's mass in percent
= 100% - 20%
= 80%
140% =
140100 =
7580% =
80100 =
45Carl's mass is the repeated identity. Make Carl's mass the same.
Carl's mass = 5 u
Mass that Gwen has more than Joelle
= 7 u - 4 u
= 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Carl's mass
= 5 u
= 5 x 7
= 35 kg
Answer(s): 35 kg
