Question

10. Jack and Dion sold a total of 33 appliances for their store. Dion sold 3 less than twice as

many appliances as Jack sold. How many appliances did each person sell?
Equation
Jack sold
and Dion sold
appliances.

Answer 1

Let x = amount of appliances Jack sold

Let y = amount of appliances Dion sold.

We need to construct a system of equations to solve this problem

33 = x + y

y = 2x - 3.

Let's solve this system of equations by substitution.

33 = x + (2x - 3). Combine like terms.

33 = 3x - 3. Add 3 to both sides.

36 = 3x. Divide both sides by 3

12 = x. Plug this value into one of our original equations.

33 = 12 + y. Subtract 12 from both sides

y = 21

Jack sold 12 appliances and Dion sold 21 appliances.