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
<em>Rearrange expressions to solve for different variables</em>
EQ1: Caramel Lbs = (30 - .95 Lollipop Lbs)/ 1.10 NOTE: (mix price = 1.00)
EQ2: Lollipop Lbs = 30 - Caramel Lbs
<em>Substitute formula 1 into formula 2</em>
Lollipop Lbs = 30 - [(30 - .95 Lollipop Lbs)/1.10]
<em>Distribute divisor</em>
Lollipop Lbs = 30 - 27.2727 + .8636 Lollipop Lbs
<em>Collect terms</em>
Lollipop Lbs = 2.7273 + .8636 Lollipop Lbs
<em>Remove .8336 Lollipops from both sides of the equation</em>
.1364 Lollipop Lbs = 2.7273
<em>Divide both sides by .1364 </em> (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!
