Kathy is 40% heavier than Billy. Olivia is 50% lighter than Billy. Kathy is 63 kg heavier than Olivia. What is Billy's mass?
| Kathy |
Billy |
Olivia |
| 140% |
100% |
|
| |
100% |
50% |
| 14 u |
10 u |
5 u |
Kathy's mass compared to Billy's mass in percent
= 100% + 40%
= 140%
Olivia's mass compared to Billy's mass in percent
= 100% - 50%
= 50%
140% =
140100 =
141050% =
50100 =
510Billy's mass is the repeated identity. Make Billy's mass the same.
Billy's mass = 10 u
Mass that Kathy has more than Olivia
= 14 u - 5 u
= 9 u
9 u = 63
1 u = 63 ÷ 9 = 7
Billy's mass
= 10 u
= 10 x 7
= 70 kg
Answer(s): 70 kg
