Brenda scored 108 points by collecting 3 coins. In all, how many coins does Brenda have to collect to score a total of 576 points? Assume the relationship is directly proportional.
Question
Brenda scored 108 points by collecting 3 coins. In all, how many coins does Brenda have to collect to score a total of 576 points? Assume the relationship is directly proportional.
Solution
First, we need to determine how many points Brenda scores per coin. We do this by dividing the total points she scored by the number of coins she collected.
So, 108 points / 3 coins = 36 points per coin.
Next, we need to find out how many coins Brenda needs to collect to score 576 points. We do this by dividing the total points she wants to score by the number of points she scores per coin.
So, 576 points / 36 points per coin = 16 coins.
Therefore, Brenda needs to collect 16 coins to score a total of 576 points.
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