Question

During a bite challenge rattlers how to collect various colored ribbons each 1/2 mile they collect a red ribbon each 1/8 mile they collect a green ribbon and each 1/4 mile they collect a blue ribbon which colors or ribbons will be collected

Answer 1

1/2×4=4/8
1/8=1/8
1/4×2=2/8
so 4/8+2/8=6/8
and 6/8+1/8=7/8

so 7/8 ribbons will be collected

Answer 2

Question

During a bike challenge, riders have to collect various colored ribbons. Each 1/2 mile they collect a red ribbon, each 1/8 mile they collect a green ribbon, and each 1/4 mile they collect a blue ribbon. Which colors of ribbons will be collected at the 3/4 mile marker?

Answer:

A green and a blue ribbon will be collected at the
`(3)/(4)` mile marker.

Explanation:

Topic: Factors and Multiples

To solve this, we'll write out the first few multiples of the distances where the collection of ribbons occurs:

Given that each
`(1)/(2)` mile they collect a red ribbon; The multiples for the Red Ribbon are as follows (by adding
`(1)/(2)` at each progression):

Red:
`(1)/(2) -> {1}{} -> (3)/(2) -> {2}{} -> (5)/(2)`

Given that each
`(1)/(8)` mile they collect a green ribbon; The multiples for the Green Ribbon are as follows (by adding
`(1)/(8)` at each progression):

Green:
`(1)/(8) -> (1)/(4) -> (3)/(8) -> (1)/(2) -> (5)/(8) -> (3)/(4) -> (7)/(8) -> {1}`

Given that each
`(1)/(4)` mile they collect a blue ribbon; The multiples for the Blue Ribbon are as follows (by adding
`(1)/(4)` at each progression):

Blue:
`(1)/(4) -> (1)/(2) -> (3)/(4) -> {1}`

Since ,
`(3)/(4)` is a multiple of both
`(1)/(8) and (1)/(4)` , then a green and a blue ribbon will be collected at the
`(3)/(4)` mile marker.