Rachel has 30Ib of a mixture of candy that sells $1.00/Ib. If lollipops sell for $0.95/Ib and caramel candies sell for $1.10/Ib, how much pounds of lollipop are in the mixture?

Answer 1

Let x be the number of pounds of lollipops in the mixture.

Since Rachel has 30 lbs of the mixture and the lollipops sell for $0.95/lb and the caramel candies sell for $1.10/lb, we can create the following equation:

30 = x + (30-x)

Now we can calculate the total value of the mixture:

$1.00 * 30 = $0.95x + $1.10(30-x)

$30 = $0.95x + $33 - $1.10x

$30 = $0.15x + $33

$-3 = $0.15x

x = 20

Therefore, there are 20 lbs of lollipops in the mixture.