Tiffany is 10% heavier than Tim. Hilda is 40% lighter than Tim. Tiffany is 10 kg heavier than Hilda. What is Tim's mass?
| Tiffany |
Tim |
Hilda |
| 110% |
100% |
|
| |
100% |
60% |
| 11 u |
10 u |
6 u |
Tiffany's mass compared to Tim's mass in percent
= 100% + 10%
= 110%
Hilda's mass compared to Tim's mass in percent
= 100% - 40%
= 60%
110% =
110100 =
111060% =
60100 =
610Tim's mass is the repeated identity. Make Tim's mass the same.
Tim's mass = 10 u
Mass that Tiffany has more than Hilda
= 11 u - 6 u
= 5 u
5 u = 10
1 u = 10 ÷ 5 = 2
Tim's mass
= 10 u
= 10 x 2
= 20 kg
Answer(s): 20 kg
