Natalie is 20% heavier than Ben. Tammy is 30% lighter than Ben. Natalie is 35 kg heavier than Tammy. What is Ben's mass?
Natalie |
Ben |
Tammy |
120% |
100% |
|
|
100% |
70% |
12 u |
10 u |
7 u |
Natalie's mass compared to Ben's mass in percent
= 100% + 20%
= 120%
Tammy's mass compared to Ben's mass in percent
= 100% - 30%
= 70%
120% =
120100 =
121070% =
70100 =
710Ben's mass is the repeated identity. Make Ben's mass the same.
Ben's mass = 10 u
Mass that Natalie has more than Tammy
= 12 u - 7 u
= 5 u
5 u = 35
1 u = 35 ÷ 5 = 7
Ben's mass
= 10 u
= 10 x 7
= 70 kg
Answer(s): 70 kg