Question

1 over 3b = 4 over 5 . Which of the following equals b in this equation? (4 points)

2 2 over 5
1 1 over 8
2 over 5
1 over 4

Answer 1

none of the answers listed are equivalent to b (22/5, 11/8, 2/5, 1/4)

Explanation:

`(1)/(3b) = (4)/(5)`

to simplify, cross multiply

(1 · 5 = 3b · 4)

(5 = 12b)

divide both sides by 12 to isolate b,

`(5)/(12) =(12b)/(12)`

`(5)/(12) = b`

None of the answers listed are equivalent to 5/12

`(5)/(12)`
`\\eq`
`(22)/(5)`

`(5)/(12) \\eq`
`(11)/(8)`

`(5)/(12) \\eq`
`(2)/(5)`

`(5)/(12) \\eq`
`(1)/(4)`