Question
A bank teller has 54 $5 and $20 bills in her cash drawer. The value of the bills is $780. How many $5 bills are there?
A bank teller has 54 $5 and $20 bills in her cash drawer. The value of the bills is $780. How many $5 bills are there?
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Koala Tutor
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Got a question with my answer?
Let's denote the number of $5 bills as x and the number of $20 bills as y. We know that:
x + y = 54
5x + 20y = 780
We can multiply the first equation by 5 to make the coefficients of x the same in both equations:
5x + 5y = 270
5x + 20y = 780
Subtracting the first equation from the second gives us:
15y = 510
Dividing both sides by 15 gives us:
y = 34
Substituting y = 34 into the first equation gives us:
x + 34 = 54
x = 54 - 34 = 20
So, there are 20 $5 bills.
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