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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, a

Question

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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Mathematics
6 months
2021-07-20T12:27:46+00:00
2021-07-20T12:27:46+00:00 1 Answers
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## Answers ( )

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