MATHEMATICS MIDDLE SCHOOL

a community bike ride offers a short 5.7 mile ride for children and families. the short ride is followed by a long ride, 5 2/3 times as long as the short ride, for adults. if a woman bikes the short ride with her children, and then the long ride with friends. how many miles does she ride together?

Answers

Answer 1
Answer:

38 miles

Further explanation

Given:

A community bike ride offers a short 5.7-mile ride for children and families.

The short ride is followed by a long ride, 5²/₃ times as long as the short ride, for adults.

A woman bikes the short ride with her children, and then the long ride with friends.

Question:

How many miles does she ride together?

The Process:

Let us make a pattern for the short ride:

\boxed{5.7} \rightarrow in \ miles

Let us do a multiplication on a fraction at first.

\boxed{ \ = (2)/(3) * 5.7 \ }

\boxed{ \ = (2)/(3) * 5(7)/(10) \ }

\boxed{ \ = (2)/(3) * (57)/(10) \ }

We crossed out 3 and 57.

\boxed{ \ = 2 * (19)/(10) \ }

\boxed{\boxed{ \ = 3.8 \ }}

Then we make a pattern for the long ride, 5²/₃ (five and two third) times as long as the short ride:

\boxed{5.7}\boxed{5.7}\boxed{5.7}\boxed{5.7}\boxed{5.7}\boxed{3.8} \rightarrow in \ miles

A woman bikes the short ride with her children, and then the long ride with friends. Let's calculate how many miles does she ride together.

  • The short ride: \boxed{5.7 \ miles}
  • The long ride: \boxed{(5.7 * 5) + 3.8 = 28.5 + 3.8 = 32.3 \ miles}

\boxed{ \ 5.7 + 32.3 = 38}

Thus, she rides 38 miles together.

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Keywords: A community bike ride, offers, a short 5.7-mile ride, for children and families, followed by, 5 2/3 times, for adults, a woman, with friends, how many miles, she ride together
Answer 2
Answer: First multiply 5.7 by 5 2/3 to figure out how long the adult ride is: 5.7/1 X 17/3= 32.3. Then add the adult ride and the children's ride together: 5.7+32.3=38 (7+3=10 which adds 1 to the whole number). The mom would ride 38 miles :)

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