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put this solution on YOUR website!Let x = number of quarters
Let y = number of nickels
From the first sentence we can get the equation:
x + y = 75
From the second sentence we can get the equation:
0.25x + 0.05y = 13.55
We can use substitution to find our answer...let's first solve for number of quarters...
We start by solving the first equation for y so we can solve the second equation for x...
x + y = 75
x + y - x = 75 - x
y = 75 - x
Plug that value of y into the 2nd equation:
0.25x + 0.05 (75 - x) = 13.55
0.25x + 3.75 - 0.05x = 13.55
0.20x + 3.75 = 13.55
0.20x + 3.75 - 3.75 = 13.55 - 3.75
0.20x = 9.80
x = 9.80 / 0.20
x = 49 quarters
Now we can plug our x-value into our original equation:
x + y = 75
49 + y = 75
49 + y - 49 = 75 - 49
y = 26 nickels
So Jeremy paid for lunch with 49 quarters and 26 nickels.
:)
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