When Lúcia plays golf at the Rolling Hills golf course, she loses about 12 balls on average. When she plays golf at the Meandering Meadows golf course, she loses about 8 balls on average. If Lúcia lost approximately 100 balls after playing at Rolling Hills r times and at Meandering Meadows m times, which of the following equations best represents the relationship between r and m ?Choose 1 answer:(A) 8r+12m=100(B) 12r+8m=100(C) 12r−8m=100(D) 8r−12m=100
Q. When Lúcia plays golf at the Rolling Hills golf course, she loses about 12 balls on average. When she plays golf at the Meandering Meadows golf course, she loses about 8 balls on average. If Lúcia lost approximately 100 balls after playing at Rolling Hills r times and at Meandering Meadows m times, which of the following equations best represents the relationship between r and m ?Choose 1 answer:(A) 8r+12m=100(B) 12r+8m=100(C) 12r−8m=100(D) 8r−12m=100
Define variables: Let's define the variables based on the information given:Let r be the number of times Lúcia plays at Rolling Hills.Let m be the number of times Lúcia plays at Meandering Meadows.We are told that Lúcia loses 12 balls on average at Rolling Hills and 8 balls on average at Meandering Meadows.The total number of balls lost after playing r times at Rolling Hills and m times at Meandering Meadows is 100.
Write equation for total balls lost: We can write an equation to represent the total number of balls lost:Total balls lost at Rolling Hills + Total balls lost at Meandering Meadows = Total balls lost12r+8m=100This equation represents the total number of balls L\'ucia lost after playing r times at Rolling Hills and m times at Meandering Meadows.
Check answer choices: Now we need to check which answer choice corresponds to the equation we have formed:(A) 8r+12m=100(B) 12r+8m=100(C) 12r−8m=100(D) 8r−12m=100The correct equation that matches our derived equation is (B) 12r+8m=100.
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