Joelle is 30% heavier than Charlie. Diana is 50% lighter than Charlie. Joelle is 48 kg heavier than Diana. What is Charlie's mass?
| Joelle |
Charlie |
Diana |
| 130% |
100% |
|
| |
100% |
50% |
| 13 u |
10 u |
5 u |
Joelle's mass compared to Charlie's mass in percent
= 100% + 30%
= 130%
Diana's mass compared to Charlie's mass in percent
= 100% - 50%
= 50%
130% =
130100 =
131050% =
50100 =
510Charlie's mass is the repeated identity. Make Charlie's mass the same.
Charlie's mass = 10 u
Mass that Joelle has more than Diana
= 13 u - 5 u
= 8 u
8 u = 48
1 u = 48 ÷ 8 = 6
Charlie's mass
= 10 u
= 10 x 6
= 60 kg
Answer(s): 60 kg
