Question 10 B0/1 pt 100 Details A person has a bag containing quarters and nickels. There are a total of 184 coins in the bag, a

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Question 10
B0/1 pt 100 Details
A person has a bag containing quarters and nickels. There are a total of 184 coins in the bag, and the total
value of the coins is $15.80.
Determine how many quarters and nickels are in the bag.

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  1. Answer:

    THere are 33 quarters and 151 nickles

    Step-by-step explanation:

    Let q be the number of quarters in the bag

    Let n be the number of nickles in the bag

    Because there are a total of 184 we have a equation:

    q + n = 184

    Because the total value of the coins is $15.80 so we have another equation

    0.25q + 0.05n = $15.80

    <=> q + 0.2n = 63.2

    We have q + n – (q + 0.2n) = 184 – 63.2

    <=> 0.8n = 120.8

    <=> n = 151

    <=> q = 184 – 151 = 33

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