Answer: 32 nickels and 20 quarters :)
Step-by-step explanation:
first lets make an equation
quarters - 25 cents so 25x
nickels - 5 cents so 5y
^ in those expressions, we've established that the variable (x or y) as the amount of coins
so 25 * however many quarters plus 5 * however many nickels will give you the total amount of cents :)
since we're working in cents, lets change $6.60 to 660 cents
25x + 5y = 660
now the problem is that we cant solve this equation due to two different variables
but we know that the total amount of coins is 52, so we can state that
x + y = 52
to make this easier to eventually plug into our previous equation, just pick a variable and isolate it. i'll do x
x = 52 - y
okkk now lets plug it into our equation
25 (52 - y) + 5y = 660
1300 - 25y + 5y = 660
1300 - 20y = 660
-1300 -1300
-20y = -640
y = -640 / -20
y = 32
so we know that we have 32 nickels
now we plug in that answer to our second equation to find how many quarters
x + y = 52
x + 32 = 52
x = 52 - 32
x = 20
so we have 32 nickels and 20 quarters :))
hope this helped
