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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+12 m=100
(B) 
12 r+8m=100
(c) 
12 r-8m=100
(D) 
8r-12 m=100

When Lúcia plays golf at the Rolling Hills golf course, she loses about 1212 balls on average. When she plays golf at the Meandering Meadows golf course, she loses about 88 balls on average. If Lúcia lost approximately 100100 balls after playing at Rolling Hills r r times and at Meandering Meadows m m times, which of the following equations best represents the relationship between r r and m m ?\newlineChoose 11 answer:\newline(A) 8r+12m=100 8 r+12 m=100 \newline(B) 12r+8m=100 12 r+8 m=100 \newline(C) 12r8m=100 12 r-8 m=100 \newline(D) 8r12m=100 8 r-12 m=100

Full solution

Q. When Lúcia plays golf at the Rolling Hills golf course, she loses about 1212 balls on average. When she plays golf at the Meandering Meadows golf course, she loses about 88 balls on average. If Lúcia lost approximately 100100 balls after playing at Rolling Hills r r times and at Meandering Meadows m m times, which of the following equations best represents the relationship between r r and m m ?\newlineChoose 11 answer:\newline(A) 8r+12m=100 8 r+12 m=100 \newline(B) 12r+8m=100 12 r+8 m=100 \newline(C) 12r8m=100 12 r-8 m=100 \newline(D) 8r12m=100 8 r-12 m=100
  1. Define variables: Let's define the variables based on the information given:\newlineLet r r be the number of times Lúcia plays at Rolling Hills.\newlineLet m m be the number of times Lúcia plays at Meandering Meadows.\newlineWe are told that Lúcia loses 12 12 balls on average at Rolling Hills and 8 8 balls on average at Meandering Meadows.\newlineThe total number of balls lost after playing r r times at Rolling Hills and m m times at Meandering Meadows is 100 100 .
  2. Write equation for total balls lost: We can write an equation to represent the total number of balls lost:\newlineTotal balls lost at Rolling Hills + Total balls lost at Meandering Meadows = Total balls lost\newline12r+8m=10012r + 8m = 100\newlineThis equation represents the total number of balls L\'ucia lost after playing rr times at Rolling Hills and mm times at Meandering Meadows.
  3. Check answer choices: Now we need to check which answer choice corresponds to the equation we have formed:\newline(A) 8r+12m=1008r + 12m = 100\newline(B) 12r+8m=10012r + 8m = 100\newline(C) 12r8m=10012r - 8m = 100\newline(D) 8r12m=1008r - 12m = 100\newlineThe correct equation that matches our derived equation is (B) 12r+8m=10012r + 8m = 100.

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