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Toby rides his bike to school every day and to his best friend's house regularly. One week, he rode to and from school 55 times and to and from his best friend's house 33 times. He rode a total of 14.414.4 miles that week. The next week, he rode to and from school 44 times and to and from his best friend's house 66 times. He rode a total of 14.414.4 miles that week, too.\newlineThis system of equations can be used to represent the situation:\newline5x+3y=14.45x + 3y = 14.4\newline4x+6y=14.44x + 6y = 14.4\newlineWhich statement is correct?\newlineChoices:\newline(A)In the system of equations, xx represents the total distance Toby traveled to and from school each week, and yy represents the total distance he traveled to and from his best friend's house each week.\newline(B)In the system of equations, xx represents the round-trip distance to and from Toby's best friend's house, and yy represents the round-trip distance to and from Toby's school.\newline(C)In the system of equations, xx represents the round-trip distance to and from Toby's school, and yy represents the round-trip distance to and from his best friend's house.\newline(D)In the system of equations, xx represents the total distance Toby traveled to and from his best friend's house each week, and yy represents the total distance he traveled to and from his school each week.\newlineWhat was the total distance Toby traveled to and from school the first week?\newline____ miles\newline

Full solution

Q. Toby rides his bike to school every day and to his best friend's house regularly. One week, he rode to and from school 55 times and to and from his best friend's house 33 times. He rode a total of 14.414.4 miles that week. The next week, he rode to and from school 44 times and to and from his best friend's house 66 times. He rode a total of 14.414.4 miles that week, too.\newlineThis system of equations can be used to represent the situation:\newline5x+3y=14.45x + 3y = 14.4\newline4x+6y=14.44x + 6y = 14.4\newlineWhich statement is correct?\newlineChoices:\newline(A)In the system of equations, xx represents the total distance Toby traveled to and from school each week, and yy represents the total distance he traveled to and from his best friend's house each week.\newline(B)In the system of equations, xx represents the round-trip distance to and from Toby's best friend's house, and yy represents the round-trip distance to and from Toby's school.\newline(C)In the system of equations, xx represents the round-trip distance to and from Toby's school, and yy represents the round-trip distance to and from his best friend's house.\newline(D)In the system of equations, xx represents the total distance Toby traveled to and from his best friend's house each week, and yy represents the total distance he traveled to and from his school each week.\newlineWhat was the total distance Toby traveled to and from school the first week?\newline____ miles\newline
  1. Identify Correct Statement: Step 11: Identify the correct statement from the choices given based on the system of equations.
  2. Solve System of Equations: Step 22: Solve the system of equations to find the value of xx, which represents the round-trip distance to and from school.
  3. Calculate Total Distance: Step 33: Calculate the total distance Toby traveled to and from school the first week using the value of xx.

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