Tina is 50% heavier than Nick. Elyse is 20% lighter than Nick. Tina is 56 kg heavier than Elyse. What is Nick's mass?
Tina |
Nick |
Elyse |
150% |
100% |
|
|
100% |
80% |
15 u |
10 u |
8 u |
Tina's mass compared to Nick's mass in percent
= 100% + 50%
= 150%
Elyse's mass compared to Nick's mass in percent
= 100% - 20%
= 80%
150% =
150100 =
151080% =
80100 =
810Nick's mass is the repeated identity. Make Nick's mass the same.
Nick's mass = 10 u
Mass that Tina has more than Elyse
= 15 u - 8 u
= 7 u
7 u = 56
1 u = 56 ÷ 7 = 8
Nick's mass
= 10 u
= 10 x 8
= 80 kg
Answer(s): 80 kg