Mary is 30% heavier than Charlie. Xylia is 40% lighter than Charlie. Mary is 56 kg heavier than Xylia. What is Charlie's mass?
| Mary |
Charlie |
Xylia |
| 130% |
100% |
|
| |
100% |
60% |
| 13 u |
10 u |
6 u |
Mary's mass compared to Charlie's mass in percent
= 100% + 30%
= 130%
Xylia's mass compared to Charlie's mass in percent
= 100% - 40%
= 60%
130% =
130100 =
131060% =
60100 =
610Charlie's mass is the repeated identity. Make Charlie's mass the same.
Charlie's mass = 10 u
Mass that Mary has more than Xylia
= 13 u - 6 u
= 7 u
7 u = 56
1 u = 56 ÷ 7 = 8
Charlie's mass
= 10 u
= 10 x 8
= 80 kg
Answer(s): 80 kg
