Tina is 20% heavier than Julian. Kylie is 50% lighter than Julian. Tina is 49 kg heavier than Kylie. What is Julian's mass?
| Tina |
Julian |
Kylie |
| 120% |
100% |
|
| |
100% |
50% |
| 12 u |
10 u |
5 u |
Tina's mass compared to Julian's mass in percent
= 100% + 20%
= 120%
Kylie's mass compared to Julian's mass in percent
= 100% - 50%
= 50%
120% =
120100 =
121050% =
50100 =
510Julian's mass is the repeated identity. Make Julian's mass the same.
Julian's mass = 10 u
Mass that Tina has more than Kylie
= 12 u - 5 u
= 7 u
7 u = 49
1 u = 49 ÷ 7 = 7
Julian's mass
= 10 u
= 10 x 7
= 70 kg
Answer(s): 70 kg
