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 :)
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:
[tex]\boxed{5.7} \rightarrow in \ miles[/tex]
Let us do a multiplication on a fraction at first.
[tex]\boxed{ \ = \frac{2}{3} \times 5.7 \ }[/tex]
[tex]\boxed{ \ = \frac{2}{3} \times 5\frac{7}{10} \ }[/tex]
[tex]\boxed{ \ = \frac{2}{3} \times \frac{57}{10} \ }[/tex]
We crossed out 3 and 57.
[tex]\boxed{ \ = 2 \times \frac{19}{10} \ }[/tex]
[tex]\boxed{\boxed{ \ = 3.8 \ }}[/tex]
Then we make a pattern for the long ride, 5²/₃ (five and two third) times as long as the short ride:
[tex]\boxed{5.7}\boxed{5.7}\boxed{5.7}\boxed{5.7}\boxed{5.7}\boxed{3.8} \rightarrow in \ miles[/tex]
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: [tex]\boxed{5.7 \ miles}[/tex]
- The long ride: [tex]\boxed{(5.7 \times 5) + 3.8 = 28.5 + 3.8 = 32.3 \ miles}[/tex]
[tex]\boxed{ \ 5.7 + 32.3 = 38}[/tex]
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