Emma is 25% heavier than Liam. Elyse is 50% lighter than Liam. Emma is 9 kg heavier than Elyse. What is Liam's mass?
| Emma |
Liam |
Elyse |
| 125% |
100% |
|
| |
100% |
50% |
| 5 u |
4 u |
2 u |
Emma's mass compared to Liam's mass in percent
= 100% + 25%
= 125%
Elyse's mass compared to Liam's mass in percent
= 100% - 50%
= 50%
125% =
125100 =
5450% =
50100 =
24Liam's mass is the repeated identity. Make Liam's mass the same.
Liam's mass = 4 u
Mass that Emma has more than Elyse
= 5 u - 2 u
= 3 u
3 u = 9
1 u = 9 ÷ 3 = 3
Liam's mass
= 4 u
= 4 x 3
= 12 kg
Answer(s): 12 kg
