Answer:
Joe is 12 times taller than Bob
No the answer not rely on the meaning of b
Step-by-step explanation:
* Lets explain how the solve the problem
- The height of Bob is equal to b cm
- The height of Bob is 8/9 of the height of Bill
- Because 8/9 is less than one , then Bob is shorter than Bill
- The height of Bill makes up 3/32 of the height of Joe
* Lets write these information by mathematics relation
∵ The height of Bob is b
∵ The height of Bob is 8/9 height of Bill
∴ b = 8/9 the height of Bill
- Multiply both sides by 9
∴ 9 b = 8 the height of Bill
- Divide both sides by 8
∴ 9/8 b = the height of Bill
∴ The height of Bill is 9/8 b
∵ The height of Bill is 3/32 the height of Joe
∴ 9/8 b = 3/32 the height of Joe
- Multiply both sides by 32
∴ 36 b = 3 the height of Joe
- Divide both sides by 3
∴ 12 b = the height of Joe
∴ The height of Joe is 12 b
∵ b is the height of Bob
∴ The height of Joe is 12 times the height of Bob
∴ Joe is 12 times taller than Bob
- NO, the answer doesn't depend on b because the ratio between the
heights of Joe and Bob doesn't change by the change of b
