Sarah is 40% heavier than Jack. Hazel is 20% lighter than Jack. Sarah is 6 kg heavier than Hazel. What is Jack's mass?
| Sarah |
Jack |
Hazel |
| 140% |
100% |
|
| |
100% |
80% |
| 7 u |
5 u |
4 u |
Sarah's mass compared to Jack's mass in percent
= 100% + 40%
= 140%
Hazel's mass compared to Jack's mass in percent
= 100% - 20%
= 80%
140% =
140100 =
7580% =
80100 =
45Jack's mass is the repeated identity. Make Jack's mass the same.
Jack's mass = 5 u
Mass that Sarah has more than Hazel
= 7 u - 4 u
= 3 u
3 u = 6
1 u = 6 ÷ 3 = 2
Jack's mass
= 5 u
= 5 x 2
= 10 kg
Answer(s): 10 kg
