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.

Answer 1

THere are 33 quarters and 151 nickles

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