Question

Ty had $1 bills and $5 bills in his wallet. he has 15 bills in all. he counts the money and finds he has $47. write and solve a system of linear equations to determine how many of each bill does ty have.

Answer 1

Ty has 7 $1 bills and 8 $5 bills.

Step-by-step explanation:

Let x represent the number of $1 bills and y represent the number of $5 bills.

We can set up the following system of linear equations:

x + y = 15 (equation 1)

1x + 5y = 47 (equation 2)

To solve the system, we can use the method of substitution or elimination. Let's use the method of substitution:

From equation 1, we can express x in terms of y: x = 15 - y.

Substituting this expression for x in equation 2:

1(15 - y) + 5y = 47

15 - y + 5y = 47

15 + 4y = 47

4y = 47 - 15

4y = 32

y = 32/4

y = 8

Now that we have the value of y, we can substitute it back into equation 1 to find x:

x + 8 = 15

x = 15 - 8

x = 7

Therefore, Ty has 7 $1 bills and 8 $5 bills.