Chocolates costing $8 per pound are to be mixed with chocolates costing $3 per pound to make a 20 pound mixture. If the mixture is to sell for $5 per pound, how many pounds of each chocolate should be used?

Which of the following equations could be used to solve the problem?

8x + 3x = 5(20)
8x + 3(20) = 5(x + 20)
8x + 3(20 - x) = 5(20)

Question

Chocolates costing $8 per pound are to be mixed with chocolates costing $3 per pound to make a 20 pound mixture. If the mixture is to sell for $5 per pound, how many pounds of each chocolate should be used?



Which of the following equations could be used to solve the problem? 



8x + 3x = 5(20)
8x + 3(20) = 5(x + 20)
8x + 3(20 - x) = 5(20)

anonymous · Answer

I think B? 
@parthkohli

anonymous · Answer

haha thanks.

anonymous · Answer

Or! maybe A because I don't think you'd multiply the 3 by 20 .-. lol Parth will help us

anonymous · Answer

okay, im so confused by this stuff lol

anonymous · Answer

$$8x+3(20-x)=5\times 20$$ is your equation

anonymous · Answer

Satellite is here...I will shut up now.

anonymous · Answer

thanks ya'll

anonymous · Answer

we reason as follows:
if you put the amount of $8 a pound chocolate as say $x$ then since the total number of pounds is 20, the amount of $3 a pound chocolate must be $20-x$

anonymous · Answer

$x$ pounds at $8 per pound costs $8x$ and $20-x$ pounds at $3 costs $3\times (20-x)$  for a total cost of 
$$8x+3(20-x)$$

anonymous · Answer

wow your really smart

anonymous · Answer

since you know the total cost is $5 times 20 = 100 you can set 
$$8x+3(20-x)=100$$ and solve for $x$