Question

Manuel and Sonja are shopping for school supplies. Manuel is buying 5 notebooks and 3 pens at a cost of $21. Sonja is buying 6 notebooks and 5 pens at a cost of $28. The first equation, representing Manuel’s purchase, is mc015-1.jpg. What is the second equation needed to solve the system?

Answer 1

"Sonja is buying 6 notebooks and 5 pens at a cost of $28." translates into

6x + 5y = 28 (or $28).

Answer 2

Second equation is 6x + 5y = 28

Explanation:

Let x is the cost of notebooks and y is the cost of pens.

Now we know Manuel is buying 5 notebooks and 3 pens at a cost of $21.

To represent this statement equation is 5x + 3y = 21

Similarly we will form the second equation to solve the system of equations.

Cost of 6 notebooks = 6x

Cost of 5 pens = 5y

Total cost of 6 notebooks and 5 pens = $28

So 6x + 5y = 28 will be the second equation.

By solving this system of equations we can find the cost of notebook as well as cost of pen purchased by Manuel.