Help help me help me

Question

first an experimental lotion mixture is made by mixing 900 ounces of everyday moisturizing lotion with 0.09 an ounce with self-tanning lotion worth $3 per ounce. if the experimental lotion is to cost 1.60 per ounce , how many ounces of the self-tanning lotion should be in the mixture

Answer 1

Due to the fact that the amount of the self-tanning lotion is so small (0.09 ounces), there will be no significant impact on the cost per ounce.

 

The final volume will be 900.09 ounces, versus the original volumes of 900 ounces plus 0.09 ounces.

 

The cost impact of the self-tanning lotion may be ignored.

 

Looking at this problem algebraically,

C1V1 + C2V2 = C3V3, where V = Volume

 

Let C = cost of the moisturizing lotion, then

 

( 900 oz C ) + (0.09 oz $3.00) = 900.09 oz $1.60

 

Expanding, we get 900C + 0.27 = $1440

Solving, C = $1.5995