how many pens did you buy?

Question

you purchased 8 pens and highlighters from the coaler creations store for a total cost of $7.52. each highlighter costs $1.09 and each pen costs $0.69. how many pens did you buy

Answer 1

Let x represent pens. Let y represent highlighters.

 

x + y = 8

y = 8 - x

 

1.09y + .69x = 7.52        

 

Since we know y = 8 - x, we can replace the y in the equation.

 

1.09(8 - x) + .69x = 7.52

8.72 - 1.09x + .69x = 7.52

8.72 - .4x = 7.52

-.4x = -1.2

x = 3

 

You bought 3 pens.

 

To check:

1.09(5) + .69(3) = 7.52

5.45 + 2.07 = 7.52

7.52 = 7.52