Multiple choice

A purchases 2 pencils and 3 pens. The cost was 60 dollars. His friend purchsed 3 pencils and 2 pens. The cost was 50 dollars. Find the cost of each pencil and pen.

  1. $9 and $16
  2. $6 and $15
  3. $6 and $16
  4. $8 and $16
  5. None of these

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The equations are as follows:

2x + 3y = 60 and 3x + 2y = 50 Adding both the equations, we get 5x + 5y = 110 or x + y = 22 Subtracting both the equations, we get -x + y = 10

y = 16 and x = 6