SOLUTION: Find the cost per ounce of a sunscreen made from 24 ounces of a lotion that costs $1.90 per ounce and 50 ounces of a lotion that costs $3.25 per ounce.

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Find the cost per ounce of a sunscreen made from 24 ounces of a lotion that costs $1.90 per ounce and 50 ounces of a lotion that costs $3.25 per ounce.      Log On

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Question 628923: Find the cost per ounce of a sunscreen made from 24 ounces of a lotion that costs $1.90 per ounce and 50 ounces of a lotion that costs $3.25 per ounce.
Found 2 solutions by Maths68, josmiceli:
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
Lotion A
========
Cost = $1.90/ounce
Amount = 24 ounces

Lotion B
========
Cost = $3.25/ounce
Amount = 50 ounces

Mixture
=======
Cost = x
Amount = Amount of Lotion A + Amount of Lotion B = 50+24 = 74 ounces


Mixture
=======
Cost = x
(Amount of Lotion A)(cost of Lotion A) + (Amount of Lotion B)(cost of Lotion B) = (Amount of Mixture)(cost of Mixture)
(24)(1.90) + (50)(3.25) = (74)(x)
(24)(1.90) + (50)(3.25) = (74)(x)
45.6+162.5=74x
208.1=74x
74x=208.1
74x/74=208.1/74
x=2.81

The cost per ounce of mixture sunscreen will be $2.81

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
1.9%2A24+=+45.6+
+3.25%2A50+=+162.5+
+%28+45.6+%2B+162.5+%29+%2F+%28+24+%2B+50+%29+=+208.1+%2F+74+
+208.1+%2F+74+=+2.81+
The sunscreen costs $2.81 / ounce