Question

Peter is buying office supplies he is able to buy three packages of paper in for staplers for $40 or he is able to buy five packages of paper and six staplers for $62 how much does a package of paper cost how much does a stapler cost

Answer 1

Cost of package of paper = 4$

Cost of stapler = 7$

Step-by-step explanation:

Consider the cost of package of paper = x and that of stapler = y.

Now, we are given that cost of 3 paper packages and 4 staplers = 40$

Hence we get, 3x + 4y = 40 as 1st equation.

we are also given, cost of 5 paper packages and 6 staplers = 62$

Hence, the second equation is 5x + 6y = 62

Now, solving the two equations by method of elimination, we first equate coefficients of any one variable say x by multiplying 1st equation by 5 and second by 3 we get ->

15x + 20y = 200

15x + 18y= 186

Subtracting the two we get y = 7 and substituting this value of y in first equation we get x = 4

which gives the required cost of one paper package = x = 4$

and one stapler = y = 7$