SOLUTION: Hi I'm really struggling with this word problem and I have tried it but not sure how they came up with the answers please help thank you so much! "How many ounces of Skin Soother

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Question 949631: Hi I'm really struggling with this word problem and I have tried it but not sure how they came up with the answers please help thank you so much!
"How many ounces of Skin Soother men’s cologne (unit price: $2.40 per ounce) must be mixed with Cool Sport men’s cologne (unit price: $1.60 per ounce) to make 8 ounces of a mixture having a unit price of $1.90 per ounce?"
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
L=1.60, dollars per ounce
H=2.40, dollars per ounce
M=8 ounces
T=1.90 dollars per ounce
This choice is arbitrary, but
-
M-v, how many ounces of the $2.40 per ounce cologne to use.
-
The only true unknown variable is v.


Solve for v.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Hi I'm really struggling with this word problem and I have tried it but not sure how they came up with the answers please help thank you so much!
"How many ounces of Skin Soother men’s cologne (unit price: $2.40 per ounce) must be mixed with Cool Sport men’s cologne (unit price: $1.60 per ounce) to make 8 ounces of a mixture having a unit price of $1.90 per ounce?"
Let amount of Skin Soother cologne to mix, be S

Then amount of Cool Sport to mix = 8 - S

Total cost of mixture: 8(1.9), or $15.20

We then get: 2.4S + 1.6(8 - S) = 15.2

2.4S + 12.8 - 1.6S = 15.2

2.4S - 1.6S = 15.2 - 12.8

.8S = 2.4

S, or amount of Skin Soother cologne to mix = , or  oz

Amount of Cool Sport to mix = 8 - 3, or  oz 

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