Cindy is 40% heavier than Jenson. Tammy is 50% lighter than Jenson. Cindy is 45 kg heavier than Tammy. What is Jenson's mass?
| Cindy |
Jenson |
Tammy |
| 140% |
100% |
|
| |
100% |
50% |
| 14 u |
10 u |
5 u |
Cindy's mass compared to Jenson's mass in percent
= 100% + 40%
= 140%
Tammy's mass compared to Jenson's mass in percent
= 100% - 50%
= 50%
140% =
140100 =
141050% =
50100 =
510Jenson's mass is the repeated identity. Make Jenson's mass the same.
Jenson's mass = 10 u
Mass that Cindy has more than Tammy
= 14 u - 5 u
= 9 u
9 u = 45
1 u = 45 ÷ 9 = 5
Jenson's mass
= 10 u
= 10 x 5
= 50 kg
Answer(s): 50 kg
