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

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?

A green and a blue ribbon will be collected at the   mile marker.

Step-by-step 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 mile they collect a red ribbon; The multiples for the Red Ribbon are as follows (by adding at each progression):

Red:

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

Green:

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

Blue:

Since , is a multiple of both   , then a green and a blue ribbon will be collected at the   mile marker.

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