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?

Respuesta :

green and blue, 1/8 * 6 = 3/4 , 1/4 * 3 = 3/4

Answer:

Hence, a blue and a green ribbon will be collected at the 3/4 marker.

Step-by-step explanation:

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.

We are asked to find which colors of ribbon is collected at the 3/4 mile marker.

since 1 red ribbon is collected at 1/2 mile the next ribbon will be collected at 1 mile.

so he will not reach at the 3/4 marker to get a red ribbon

Hence, no red ribbon will be collected at 3/4 marker.

Now each green ribbon is collected at 1/8 mile.

since, 1/8+1/8+1/8+1/8+1/8+1/8=6/8=3/4

i.e. adding 1/8 6 times we get 3/4

Hence, he will reach the 3/4 marker and get a green ribbon.

Now we are given that each blue marker is obtained at 1/4 marker.

since 1/4+1/4+1/4=3/4

Hence, a blue ribbon will be given at a 3/4 marker.

Hence, a blue and a green ribbon will be collected at the 3/4 marker.