Natalie is 30% heavier than Carl. Pamela is 10% lighter than Carl. Natalie is 20 kg heavier than Pamela. What is Carl's mass?
Natalie |
Carl |
Pamela |
130% |
100% |
|
|
100% |
90% |
13 u |
10 u |
9 u |
Natalie's mass compared to Carl's mass in percent
= 100% + 30%
= 130%
Pamela's mass compared to Carl's mass in percent
= 100% - 10%
= 90%
130% =
130100 =
131090% =
90100 =
910Carl's mass is the repeated identity. Make Carl's mass the same.
Carl's mass = 10 u
Mass that Natalie has more than Pamela
= 13 u - 9 u
= 4 u
4 u = 20
1 u = 20 ÷ 4 = 5
Carl's mass
= 10 u
= 10 x 5
= 50 kg
Answer(s): 50 kg