Abi is 10% heavier than Carl. Gabby is 20% lighter than Carl. Abi is 6 kg heavier than Gabby. What is Carl's mass?
| Abi |
Carl |
Gabby |
| 110% |
100% |
|
| |
100% |
80% |
| 11 u |
10 u |
8 u |
Abi's mass compared to Carl's mass in percent
= 100% + 10%
= 110%
Gabby's mass compared to Carl's mass in percent
= 100% - 20%
= 80%
110% =
110100 =
111080% =
80100 =
810Carl's mass is the repeated identity. Make Carl's mass the same.
Carl's mass = 10 u
Mass that Abi has more than Gabby
= 11 u - 8 u
= 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Carl's mass
= 10 u
= 10 x 2
= 20 kg
Answer(s): 20 kg
