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Answer :
Answer:
Step-by-step explanation:
Number of laps run by Runner A = x
Number of laps run by Runner B = y
Runner B ran 6 more than twice as many laps as Runner A.
b = 6 + 2a
Together they ran a total of 30 laps.
a + b = 30
Part A: Write an equation for this situation. Use a variable to represent the number of laps for Runner A.
Part B: How many laps did Runner A run?
a + b = 30
b = 6 + 2a
Hence:
a + 6 + 2a = 30
3a = 30 - 6
3a = 27
a = 27/3
a = 9 laps
Part C: How many laps did Runner B run?
a + b = 30
b = 30 -9
b = 21 laps
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