Question

A store sells dry erase markers and erasers in packages. The price of a package of two markers and one eraser is 7 The price of a package of three markers and two erasers is 12. What is the price of one dryerase marker and one eraser

Answer 1

The price of one dry erase marker and one eraser is $1.20.

Step-by-step explanation:

To solve this problem, we can set up a system of equations. Let's denote the price of one marker as 'm' and the price of one eraser as 'e'. From the given information, we know that:

2m + e = 7 (equation 1)

3m + 2e = 12 (equation 2)

We can solve this system of equations by using the method of substitution. First, let's solve equation 1 for 'm':

m = (7 - e) / 2

Now substitute this value of 'm' into equation 2:

3((7 - e) / 2) + 2e = 12

Simplify the equation:

(21 - 3e + 4e) / 2 = 12

Simplify further:

5e = 6

e = 6/5

Therefore, the price of one dry erase marker and one eraser is $6/5 or $1.20.