Emily is 40% heavier than Riordan. Sarah is 10% lighter than Riordan. Emily is 50 kg heavier than Sarah. What is Riordan's mass?
| Emily |
Riordan |
Sarah |
| 140% |
100% |
|
| |
100% |
90% |
| 14 u |
10 u |
9 u |
Emily's mass compared to Riordan's mass in percent
= 100% + 40%
= 140%
Sarah's mass compared to Riordan's mass in percent
= 100% - 10%
= 90%
140% =
140100 =
141090% =
90100 =
910Riordan's mass is the repeated identity. Make Riordan's mass the same.
Riordan's mass = 10 u
Mass that Emily has more than Sarah
= 14 u - 9 u
= 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Riordan's mass
= 10 u
= 10 x 10
= 100 kg
Answer(s): 100 kg
