Question

Rachel has 30 pounds of a mixture of candy that sells for $1.00/lb. If lollipops sell for $0.95/lb and caramel candies sell for $1.10/lb. How many pounds of lollipops are in the mixture?
Could I have an equation for the problem.
Thank you so Much!

Answer 1

Answer:

Twenty Pounds

Step-by-step explanation:

Equation #1:

30lbs x Mix Price = (Lollipop Lbs  x 0.95)  + (Caramel Lbs X 1.10)

Equation #2:

Lollipops Lbs + Caramel Lbs = 30 Lbs

Rearrange expressions to solve for different variables

EQ1:   Caramel Lbs = (30 - .95 Lollipop Lbs)/ 1.10      NOTE: (mix price = 1.00)

EQ2:  Lollipop Lbs = 30 - Caramel Lbs

Substitute formula 1 into formula 2

Lollipop Lbs = 30 - [(30 - .95 Lollipop Lbs)/1.10]

Distribute divisor

Lollipop Lbs  = 30 - 27.2727 + .8636 Lollipop Lbs

Collect terms

Lollipop Lbs  =  2.7273 + .8636 Lollipop Lbs

Remove .8336 Lollipops from both sides of the equation

.1364 Lollipop Lbs = 2.7273

Divide both sides by .1364   (Answer is  19.9949 which rounds to 20)

Lollipop Lbs =  20

PROOF:

30 = (20 x 0.95) + (10 x 1.10)

30 = 19 + 11

30 = 30   TRUE!