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  $\frac{3}{4}$ 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 $\frac{1}{2}$ mile they collect a red ribbon; The multiples for the Red Ribbon are as follows (by adding $\frac{1}{2}$ at each progression):

Red: $\frac{1}{2} -> {1}{} -> \frac{3}{2} -> {2}{} -> \frac{5}{2}$

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

Green: $\frac{1}{8} -> \frac{1}{4} -> \frac{3}{8} -> \frac{1}{2} -> \frac{5}{8} -> \frac{3}{4} -> \frac{7}{8} -> {1}$

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

Blue: $\frac{1}{4} -> \frac{1}{2} -> \frac{3}{4} -> {1}$

Since , $\frac{3}{4}$ is a multiple of both  $\frac{1}{8} and \frac{1}{4}$ , then a green and a blue ribbon will be collected at the  $\frac{3}{4}$ mile marker.