Lynn is 20% heavier than Brandon. Opal is 40% lighter than Brandon. Lynn is 21 kg heavier than Opal. What is Brandon's mass?
| Lynn |
Brandon |
Opal |
| 120% |
100% |
|
| |
100% |
60% |
| 6 u |
5 u |
3 u |
Lynn's mass compared to Brandon's mass in percent
= 100% + 20%
= 120%
Opal's mass compared to Brandon's mass in percent
= 100% - 40%
= 60%
120% =
120100 =
6560% =
60100 =
35Brandon's mass is the repeated identity. Make Brandon's mass the same.
Brandon's mass = 5 u
Mass that Lynn has more than Opal
= 6 u - 3 u
= 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Brandon's mass
= 5 u
= 5 x 7
= 35 kg
Answer(s): 35 kg
