Fiona is 10% heavier than Zeph. Mary is 20% lighter than Zeph. Fiona is 18 kg heavier than Mary. What is Zeph's mass?
| Fiona |
Zeph |
Mary |
| 110% |
100% |
|
| |
100% |
80% |
| 11 u |
10 u |
8 u |
Fiona's mass compared to Zeph's mass in percent
= 100% + 10%
= 110%
Mary's mass compared to Zeph's mass in percent
= 100% - 20%
= 80%
110% =
110100 =
111080% =
80100 =
810Zeph's mass is the repeated identity. Make Zeph's mass the same.
Zeph's mass = 10 u
Mass that Fiona has more than Mary
= 11 u - 8 u
= 3 u
3 u = 18
1 u = 18 ÷ 3 = 6
Zeph's mass
= 10 u
= 10 x 6
= 60 kg
Answer(s): 60 kg
