Rachel is 20% heavier than Pierre. Zara is 25% lighter than Pierre. Rachel is 27 kg heavier than Zara. What is Pierre's mass?
| Rachel |
Pierre |
Zara |
| 120% |
100% |
|
| |
100% |
75% |
| 24 u |
20 u |
15 u |
Rachel's mass compared to Pierre's mass in percent
= 100% + 20%
= 120%
Zara's mass compared to Pierre's mass in percent
= 100% - 25%
= 75%
120% =
120100 =
242075% =
75100 =
1520Pierre's mass is the repeated identity. Make Pierre's mass the same.
Pierre's mass = 20 u
Mass that Rachel has more than Zara
= 24 u - 15 u
= 9 u
9 u = 27
1 u = 27 ÷ 9 = 3
Pierre's mass
= 20 u
= 20 x 3
= 60 kg
Answer(s): 60 kg
