Question

A certain brand of razor blades comes in packages of 6, 12, and 24 blades, costing $2, $3, and $4 per package, respectively. A store sold 12 packages containing a total of 162 razor blades and took in $35 Which system of equations could be used to solve for the number of packages of each type that were sold?

Answer 1

To solve for the number of packages of each type that were sold, set up a system of equations based on the given information. Use methods like substitution or elimination to find the values of x, y, and z.

Step-by-step explanation:

To solve for the number of packages of each type that were sold, we can set up a system of equations based on the given information:

Let x be the number of 6-blade packages sold.

Let y be the number of 12-blade packages sold.

Let z be the number of 24-blade packages sold.

From the information given, we have the following equations:

1. x + y + z = 12 (total number of packages)
2. 6x + 12y + 24z = 162 (total number of razor blades)
3. 2x + 3y + 4z = 35 (total cost)

This system of equations can be solved using various methods such as substitution or elimination to find the values of x, y, and z.