Tina is 25% heavier than Archie. Vanessa is 40% lighter than Archie. Tina is 52 kg heavier than Vanessa. What is Archie's mass?
| Tina |
Archie |
Vanessa |
| 125% |
100% |
|
| |
100% |
60% |
| 25 u |
20 u |
12 u |
Tina's mass compared to Archie's mass in percent
= 100% + 25%
= 125%
Vanessa's mass compared to Archie's mass in percent
= 100% - 40%
= 60%
125% =
125100 =
252060% =
60100 =
1220Archie's mass is the repeated identity. Make Archie's mass the same.
Archie's mass = 20 u
Mass that Tina has more than Vanessa
= 25 u - 12 u
= 13 u
13 u = 52
1 u = 52 ÷ 13 = 4
Archie's mass
= 20 u
= 20 x 4
= 80 kg
Answer(s): 80 kg
