Which gives the weight of Brand A coffee in the mix

Question

The expression below describes a coffee mix, where x represents the price per pound of Brand A and y represents the price per pound of Brand B.

 

2x + 0.5y

Which gives the weight (in pounds) of Brand A coffee in the mix?

A. 1/2

B. 1/2x

C. 2

D. 2x

Answer 1

If x is the price per pound of Brand A coffee, then the probable reason to multiply it by 2 is to find the total price of 2 pounds of Brand A coffee.

If Brand A coffee costs 50 cents per pound, 2 pounds costs 50(2) = 100 cents, right? If Brand B costs 60 cents, then .5 pounds costs .5(60) = 30 cents, for a total of $1.30 for the mix.

Instead, Brand A costs x cents or dollars or pounds or Euros or something per pound, so our price is 2x. Brand B costs y cents or whatever per pound so the total is 0.5y. The total cost for 2 pounds of Brand A and 1/2-pound of Brand B is your given expression.

The answer is C.