Min is 40% heavier than Tommy. Olivia is 10% lighter than Tommy. Min is 15 kg heavier than Olivia. What is Tommy's mass?
Min |
Tommy |
Olivia |
140% |
100% |
|
|
100% |
90% |
14 u |
10 u |
9 u |
Min's mass compared to Tommy's mass in percent
= 100% + 40%
= 140%
Olivia's mass compared to Tommy's mass in percent
= 100% - 10%
= 90%
140% =
140100 =
141090% =
90100 =
910Tommy's mass is the repeated identity. Make Tommy's mass the same.
Tommy's mass = 10 u
Mass that Min has more than Olivia
= 14 u - 9 u
= 5 u
5 u = 15
1 u = 15 ÷ 5 = 3
Tommy's mass
= 10 u
= 10 x 3
= 30 kg
Answer(s): 30 kg