Kylie is 40% heavier than Simon. Penelope is 50% lighter than Simon. Kylie is 18 kg heavier than Penelope. What is Simon's mass?
Kylie |
Simon |
Penelope |
140% |
100% |
|
|
100% |
50% |
14 u |
10 u |
5 u |
Kylie's mass compared to Simon's mass in percent
= 100% + 40%
= 140%
Penelope's mass compared to Simon's mass in percent
= 100% - 50%
= 50%
140% =
140100 =
141050% =
50100 =
510Simon's mass is the repeated identity. Make Simon's mass the same.
Simon's mass = 10 u
Mass that Kylie has more than Penelope
= 14 u - 5 u
= 9 u
9 u = 18
1 u = 18 ÷ 9 = 2
Simon's mass
= 10 u
= 10 x 2
= 20 kg
Answer(s): 20 kg