Tiffany is 50% heavier than Cody. Diana is 25% lighter than Cody. Tiffany is 21 kg heavier than Diana. What is Cody's mass?
Tiffany |
Cody |
Diana |
150% |
100% |
|
|
100% |
75% |
6 u |
4 u |
3 u |
Tiffany's mass compared to Cody's mass in percent
= 100% + 50%
= 150%
Diana's mass compared to Cody's mass in percent
= 100% - 25%
= 75%
150% =
150100 =
6475% =
75100 =
34Cody's mass is the repeated identity. Make Cody's mass the same.
Cody's mass = 4 u
Mass that Tiffany has more than Diana
= 6 u - 3 u
= 3 u
3 u = 21
1 u = 21 ÷ 3 = 7
Cody's mass
= 4 u
= 4 x 7
= 28 kg
Answer(s): 28 kg