Question

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

Answer 1

okay, so the bag of 30 lb candy will cost how much total?

Answer 2

1.10

Answer 3

the candy is worth 1.10 per lb, we have 30lbs of it, so therefore,

30lb * $1.10 per lb = $33.00

Answer 4

Does that part make sense?

Answer 5

15x+33=270-9x

Answer 6

yes it does

Answer 7

lets try it this way,
x + y = 30 lb
$1.5x + $0.90y = $33.00

Answer 8

Does that part now make sense?

Answer 9

yes

Answer 10

Do you know how to solve it?

Answer 11

are we solving for x

Answer 12

Well, we have to equations, we will use the method of sub substitution to solve them. Since we have two unknowns (x and y), we need two equations to solve the system.

x + y = 30 lb Solve for x
x = 30 - y

Now we know what x is in terms of y, so lets sub that into our second equation.

$1.5y + $0.90x = $33.00
$1.5y + $0.90(30 - y) = $33.00 Now we must solve for y