Natalie is 40% heavier than Sam. Gem is 10% lighter than Sam. Natalie is 40 kg heavier than Gem. What is Sam's mass?
| Natalie |
Sam |
Gem |
| 140% |
100% |
|
| |
100% |
90% |
| 14 u |
10 u |
9 u |
Natalie's mass compared to Sam's mass in percent
= 100% + 40%
= 140%
Gem's mass compared to Sam's mass in percent
= 100% - 10%
= 90%
140% =
140100 =
141090% =
90100 =
910Sam's mass is the repeated identity. Make Sam's mass the same.
Sam's mass = 10 u
Mass that Natalie has more than Gem
= 14 u - 9 u
= 5 u
5 u = 40
1 u = 40 ÷ 5 = 8
Sam's mass
= 10 u
= 10 x 8
= 80 kg
Answer(s): 80 kg
