Natalie is 20% heavier than Albert. Abi is 30% lighter than Albert. Natalie is 35 kg heavier than Abi. What is Albert's mass?
Natalie |
Albert |
Abi |
120% |
100% |
|
|
100% |
70% |
12 u |
10 u |
7 u |
Natalie's mass compared to Albert's mass in percent
= 100% + 20%
= 120%
Abi's mass compared to Albert's mass in percent
= 100% - 30%
= 70%
120% =
120100 =
121070% =
70100 =
710Albert's mass is the repeated identity. Make Albert's mass the same.
Albert's mass = 10 u
Mass that Natalie has more than Abi
= 12 u - 7 u
= 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
Albert's mass
= 10 u
= 10 x 7
= 70 kg
Answer(s): 70 kg