Question

Julie went to the store to buy notebooks. The small

notebooks were $0.50 and the larger ones were $1.
She spent $6 and came back with 9 notebooks. How
many of each notebook did she buy? (set up and
graph a system of equations)

Answer 1

In order to solve this problem, we can set up a system of equations. The solution to the system of equations is x = 6 and y = 3, denoting Julie's purchase of 6 small notebooks and 3 larger notebooks.

Step-by-step explanation:

In order to resolve this problem, we can establish a system of equations using 'x' to represent the number of small notebooks and 'y' for the larger ones.

The total cost for the small notebooks is $0.50x, and for the larger notebooks, it is $1y.

As Julie spent $6, the equation becomes 0.50x + 1y = 6. Given that she purchased a total of 9 notebooks, the second equation is x + y = 9.

Employing either substitution or elimination methods, we find that x = 6, signifying Julie bought 6 small notebooks. Substituting x = 6 into the second equation, we deduce y = 3, revealing Julie acquired 3 larger notebooks.

This systematic approach enables a clear and calculated resolution to the problem of notebook quantities and costs.

Therefore, the solution to the system of equations is x = 6 and y = 3, denoting Julie's purchase of 6 small notebooks and 3 larger notebooks.