Hilda is 50% heavier than Elijah. Jean is 30% lighter than Elijah. Hilda is 72 kg heavier than Jean. What is Elijah's mass?
| Hilda |
Elijah |
Jean |
| 150% |
100% |
|
| |
100% |
70% |
| 15 u |
10 u |
7 u |
Hilda's mass compared to Elijah's mass in percent
= 100% + 50%
= 150%
Jean's mass compared to Elijah's mass in percent
= 100% - 30%
= 70%
150% =
150100 =
151070% =
70100 =
710Elijah's mass is the repeated identity. Make Elijah's mass the same.
Elijah's mass = 10 u
Mass that Hilda has more than Jean
= 15 u - 7 u
= 8 u
8 u = 72
1 u = 72 ÷ 8 = 9
Elijah's mass
= 10 u
= 10 x 9
= 90 kg
Answer(s): 90 kg
