A restaurant ordered $900 worth of plates,

Question

A restaurant ordered $900 worth of plates, some of which cost $5 each and some of which cost $10 each. If twice as many $10 plates as $5 plates were ordered, what was the total number of plates ordered?

Answer 1

This type of problem is looking for you to understand both word problem transition to equations and also relationships.

 

If we say that x = the number of $10 plates and y = the number of $5 plates, then we can set up the equation that

 

$10*x + $5*y = $900, but the problem also states that x = 2*y

 

so we can combine these equations to obtain

 

$10*2*y + $5*y = $900

 

Now we can solve this equation for y which again is the number of $5 plates, and then use that answer multiplied by 2 to obtain the number of $10 plates.