as of 2009, there were about 225 quarters for every 2 fifty-cent coins in circulation. if there were about 380 million quarters in circulation that year, approximately how many total quarters and fifty-cent coins, in millions, were there in circulation
Q. as of 2009, there were about 225 quarters for every 2 fifty-cent coins in circulation. if there were about 380 million quarters in circulation that year, approximately how many total quarters and fifty-cent coins, in millions, were there in circulation
Understand the ratio: Understand the ratio and the given quantity.We are given that there are 225 quarters for every 2 fifty-cent coins. We are also given that there are 380 million quarters in circulation.
Calculate number of coins: Calculate the number of fifty-cent coins based on the given ratio.Since there are 225 quarters for every 2 fifty-cent coins, we can set up a proportion to find the number of fifty-cent coins:2 fifty-cent coins225 quarters=x fifty-cent coins380 million quarters
Solve the proportion: Solve the proportion for x, the number of fifty-cent coins.2×380 million=225×x760 million=225xx=225760 millionx≈3.37777778 million
Round number of coins: Round the number of fifty-cent coins to a reasonable level of precision. Since we are dealing with large numbers and the word "about" is used, we can round the number of fifty-cent coins to approximately 3.38 million.
Find total number: Add the number of quarters to the number of fifty-cent coins to find the total.Total in millions = 380 million quarters + 3.38 million fifty-cent coinsTotal in millions ≈383.38 million
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