Medal
A snack food is made by mixing 5lb of popcorn that cost $.80 per pound with caramel that costs $2.40 per pound. How much caramel is needed to make a mixture that costs $1.40 per pound?

Question

Medal
A snack food is made by mixing 5lb of popcorn that cost $.80 per pound with caramel that costs $2.40 per pound. How much caramel is needed to make a mixture that costs $1.40 per pound?

anonymous · Answer

You can set the equation this way: Let x = the amount of caramel required. 
5%280.80%29+%2B+x%282.40%29+=+%285%2Bx%29%281.40%29 Simplify and solve for x. 
4+%2B+2.40%28x%29+=+7+%2B+1.40%28x%29 Subtract 1.40(x) from both sides. 
4+%2B+x+=+7 Subtract 4 from both sides.

anonymous · Answer

i am sorry i cant understand what you wrote can you please explain to me again

jennyrlz · Answer

Hello ^.^

anonymous · Answer

5=lbs of popcorn
c=lbs of caramel
80=cost per pound of popcorn (in cents)
240=cost per pound of caramel (in cents)
140=cost of both together (in cents) 


cost(lbs popcorn)+cost(lbs caramel)=cost(lbs popcorn and caramel)
80(5)+240(c)=140(5+c) 


400+240c=700+140c 

Subtract 400 from both sides
240c=300+140c 

Subtract 140c from both sides
100c=300 

Divide both sides by 100
c=3 

Answer: 3 lbs of caramel

anonymous · Answer

thank you soo much :)

jennyrlz · Answer

Wow I can't understand what he wrote either lol

anonymous · Answer

sorry my bad its
Let x= the amount of caramel required 
5*(0.80)+x(2.40)=(5+x)*(1.40)
then simplify and solve for x

anonymous · Answer

much better ha . i found the equation and tried to copy and paste i guess it didnt work

anonymous · Answer

xD yupss

anonymous · Answer

how would you solve for x

anonymous · Answer

@brucebaner  @keeks4481  can you please help me

anonymous · Answer

I already did it.... it will be 3
x=3
So, the answer is 3 lbs of caramel

anonymous · Answer

he's right ^^

anonymous · Answer

ok thank you