Question

lamont is trying to determine how many $5 and $10 bills he needs to make $300 in total he has 35 bills. If x represents the number of $5 bills he has and y represents the number of $10 bills use the graph below to determine how many of each bill he has

Answer 1

Answer: 10 $5 bills, and 25 $10 bills.

Explanation:

Let's define the variables:

F = number of $5 bills.

T = number of $10 bills.

We know that he wants to make $300 in total, then we have:

F*$5 + T*$10 = $300

And we also know that in total there are 35 bills, then:

F + T = 35.

So we have the system of equations:

F*$5 + T*$10 = $300

F + T = 35

To solve this, the first step is isolate one of the variables in one of the equations, i will isolate F in the second equation to get:

F = 35 - T

Now we can replace that in the other equation, and get:

(35 - T)*$5 + T*$10 = $300

Now we can solve this equation for T.

$175 - T*$5 + T*$10 = $300

T*$5 = $300 - $175 = $125

T = $125/$5 = 25

and:

F = 35 - T = 35 - 25 = 10

Then he has:

10 $5 bills, and 25 $10 bills.