Question

A new mixture of​ self-tanning & moisturizing lotions for everyday use is being developed. This mixture is made by mixing 900 ounces of everyday moisturizing lotion for ​$0.90 per ounce with​ self-tanning lotion worth ​$33 per ounce. If the new​ self-tanning & moisturizing lotion mixture is to cost $1.60 per​ ounce, how many ounces of the​ self-tanning lotion should be in the​ mixture?

Answer 1

To determine the number of ounces of the self-tanning lotion in the mixture, we can set up an equation and solve for the unknown. By setting up and solving the equation, we find that 20 ounces of the self-tanning lotion should be in the mixture.

Step-by-step explanation:

To determine how many ounces of the self-tanning lotion should be in the mixture, we can set up the equation:

Cost of everyday moisturizing lotion x ounces + Cost of self-tanning lotion y ounces = Total cost of mixture x + y ounces

In this case, we know the cost and the number of ounces of the everyday moisturizing lotion and the desired cost per ounce of the mixture. Let's solve for y, the number of ounces of self-tanning lotion:

900(0.90) + 33y = (900 + y)(1.60)

Solving for y:

1. 900(0.90) + 33y = 1440 + 1.60y
2. 810 + 33y = 1440 + 1.60y
3. 31.40y = 630
4. y = 630 / 31.40
5. y = 20

Therefore, 20 ounces of the self-tanning lotion should be in the mixture.

Answer 2

I don't know but i need points so thanks