Kylie is 10% heavier than Ben. Hilda is 50% lighter than Ben. Kylie is 12 kg heavier than Hilda. What is Ben's mass?
| Kylie |
Ben |
Hilda |
| 110% |
100% |
|
| |
100% |
50% |
| 11 u |
10 u |
5 u |
Kylie's mass compared to Ben's mass in percent
= 100% + 10%
= 110%
Hilda's mass compared to Ben's mass in percent
= 100% - 50%
= 50%
110% =
110100 =
111050% =
50100 =
510Ben's mass is the repeated identity. Make Ben's mass the same.
Ben's mass = 10 u
Mass that Kylie has more than Hilda
= 11 u - 5 u
= 6 u
6 u = 12
1 u = 12 ÷ 6 = 2
Ben's mass
= 10 u
= 10 x 2
= 20 kg
Answer(s): 20 kg
