Zoe is 10% heavier than Zane. Gwen is 25% lighter than Zane. Zoe is 14 kg heavier than Gwen. What is Zane's mass?
| Zoe |
Zane |
Gwen |
| 110% |
100% |
|
| |
100% |
75% |
| 22 u |
20 u |
15 u |
Zoe's mass compared to Zane's mass in percent
= 100% + 10%
= 110%
Gwen's mass compared to Zane's mass in percent
= 100% - 25%
= 75%
110% =
110100 =
222075% =
75100 =
1520Zane's mass is the repeated identity. Make Zane's mass the same.
Zane's mass = 20 u
Mass that Zoe has more than Gwen
= 22 u - 15 u
= 7 u
7 u = 14
1 u = 14 ÷ 7 = 2
Zane's mass
= 20 u
= 20 x 2
= 40 kg
Answer(s): 40 kg
