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
