The art club at school is painting a mural using their school colors. Blue paint comes in a 5-ounce container costing $2 per container. The containers of silver paint hold two ounces and cost $3 per container. The art club spent $56 and bought a total of 74 ounces of paint. How many containers of blue paint and how many containers of silver paint did the art club buy?

Respuesta :

Answer:

The club brought 10 containers of blue paint.

And 12 containers of silver paint.

Step-by-step explanation:

The cost of blue paint 5 - ounce container = $2

The cost of silver paint 2 - ounce container = $3

Total money spent = $56

Total weight purchased = 74 ounces

Let the number so blue container purchased = x

And the number of silver containers = y

Now, according  to the question:

5x +2y  = 74

and 2x + 3y = 56

Solving the given system of equations, we get

y = 12

If , y = 12. then x :  5x = 74 - 24 = 50

or, x = 50/5 = 10

So, the value of x =  10, and value of y = 12

Hence, the club brought 10 containers of blue paint.

And 12 containers of silver paint.