Usha is 50% heavier than Howard. Olivia is 30% lighter than Howard. Usha is 16 kg heavier than Olivia. What is Howard's mass?
| Usha |
Howard |
Olivia |
| 150% |
100% |
|
| |
100% |
70% |
| 15 u |
10 u |
7 u |
Usha's mass compared to Howard's mass in percent
= 100% + 50%
= 150%
Olivia's mass compared to Howard's mass in percent
= 100% - 30%
= 70%
150% =
150100 =
151070% =
70100 =
710Howard's mass is the repeated identity. Make Howard's mass the same.
Howard's mass = 10 u
Mass that Usha has more than Olivia
= 15 u - 7 u
= 8 u
8 u = 16
1 u = 16 ÷ 8 = 2
Howard's mass
= 10 u
= 10 x 2
= 20 kg
Answer(s): 20 kg
