Q:

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

Accepted Solution

A:
Answer:Cost of package of paper = 4$Cost of stapler = 7$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 = 62Now, 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 = 20015x + 18y= 186Subtracting the two we get y = 7 and substituting this value of y in first equation we get x = 4which gives the required cost of one paper package = x = 4$ and one stapler = y = 7$