Question

When Devon cashed a $450 check at the bank, the teller gave him 18 bills, all $20 bills and $50 bills. Which system of equations can be used to find how many of each type of bill Devon received?

Answer 1

Let, the number of $20 bill = x
number of $50 bill = y

Equations would be: x + y = 18
& 20x + 50y = 450

Substitute value of x from 1st equation into 2nd equation;
20(18-y) + 50y = 450
360-20y + 50y = 450
30y = 450-360
y = 90/30
y = 3

Now, Substitute value of y in 1st equation,
x + 3 = 18
x = 18 - 3 = 15

So, There were 15 bills of $20 and 3 bills of $50

Hope this helps!