SOLUTION: Shelby has two types of iodine in her lab. She has brand 238 iodine, which costs 53 cents per ounce. She also has brand 691 iodine which costs $2.35 an ounce. How many ounces of

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Shelby has two types of iodine in her lab. She has brand 238 iodine, which costs 53 cents per ounce. She also has brand 691 iodine which costs $2.35 an ounce. How many ounces of      Log On

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Question 182236: Shelby has two types of iodine in her lab. She has brand 238 iodine, which costs 53 cents per ounce. She also has brand 691 iodine which costs $2.35 an ounce. How many ounces of brand 238 should she use if she has 55 ounces of brand 691 and wants to make a mixture that costs approximately $0.77 per ounce.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a = amount of 238 iodine needed
Let b = amount of 691 iodine needed
given:
b+=+55oz
.53a+%2B+2.35b+=+.77%2A%28a+%2B+b%29
.53a+%2B+2.35%2A55+=+.77%2A%28a+%2B+55%29
.53a+%2B+129.25+=+.77a+%2B+42.35%29
.53a+%2B+129.25+=+.77a+%2B+42.35%29
.24a+=+86.9
a+=+362.1 oz
She needs 362.1 oz of the 238 iodine
check:
.53a+%2B+2.35b+=+.77%2A%28a+%2B+b%29
.53%2A362.1+%2B+2.35%2A55+=+.77%2A%28362.1+%2B+55%29
191.9+%2B+129.25+=+321.2
321.2+=+321.2
OK