Can someone help me with this. A mixture of 30 lbs. of candy sells for $1.10 a pound. The mixture consists of chocolates worth $1.50 a pound and chocolates worth 90¢ a pound. How many pounds of each kind were used to make the mixture? ___ lbs. of $1.50 chocolates and ____ lbs. of 90¢ chocolate

Question

anonymous · Answer

I think a system of two linear equations will take care of it.
Do you have experience with that method of solving?

anonymous · Answer

mixed problem right

anonymous · Answer

30x11=33

anonymous · Answer

You'll need to develop at least two equations to represent the information that you are given. e.g. if there are 30lbs. total, then x+y=30, x = pounds of $1.50 chocolates, y = $0.90 chocolates.
Can you come up with another equation?

anonymous · Answer

(Hint: what is the total cost of that 30lbs. of candy?)

anonymous · Answer

15x+9y=30

anonymous · Answer

Make sure your units match up. If you're using 15 and 9, those are in units of dimes, The 30 is in units of pounds. You can't add groups of dimes together to make a number of pounds. They are not the same kind of thing.

anonymous · Answer

30x1.10=33

anonymous · Answer

Ok, so you have x pounds at $1.10 + y pounds at $0.90 and together they add up to $33.00.
You now have two equations with which to solve for your two unknowns.