anonymous
  • anonymous
Can someone walk me through solving this?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
I'm so confused
1 Attachment
anonymous
  • anonymous
I would, but the wording is a bit confusing..
Hero
  • Hero
They're mixing the everyday moisturizing lotion together with the self-tanning lotion to produce an experimental lotion.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

Hero
  • Hero
Each kind of lotion is measured in ounces.
Hero
  • Hero
They give us the amount of ounces for the everyday moisturizing lotion: 300 ounces.
Hero
  • Hero
They do not give us the amount of ounces of the other two lotions so we have to create variables for them.
Hero
  • Hero
Let us represent the total ounces of self tanning lotion as variable \(s\) and the total ounces of experimental lotion as variable \(e\).
anonymous
  • anonymous
Okay
Hero
  • Hero
Then we have the following equation: \(300 + s = e\)
Hero
  • Hero
Next they tell us how much each kind of lotion costs per ounce.
Hero
  • Hero
The everyday lotion is worth $0.30 an ounce. The self tanning lotion is worth $2 an ounce. The experimental lotion is worth $1.50 an ounce.
Hero
  • Hero
We can find the total cost of each lotion. Remember they give us the total ounces of everyday lotion (300 oz), so $.0.30 \(\times\) 300\) would give us the total cost of everyday lotion.
anonymous
  • anonymous
90? @Hero
Hero
  • Hero
We don't have the total amount of ounces of the other kinds of lotions so we have to use the variables to represent the amounts and multiply it by the cost per ounce of each lotion type.
Hero
  • Hero
Yes the total cost of the everyday moisturizing lotion is $90
Hero
  • Hero
The total amounts for the other lotions we have to write them this way: The total cost of the self tanning lotion will be represented by \(2s\) The total cost of the experimental lotion is represented by \(1.50e\)
Hero
  • Hero
This leads us to our next equation where we will combine the total cost of the tanning and mosturizing lotions to get the total cost of the experimental lotion: \(90 + 2s = 1.50e\)
Hero
  • Hero
We now have two equations, one for total ounces and the other for total cost: Total ounces: \(300 + s = e\) Total cost: \(90 + 2s = 1.50e\)
Hero
  • Hero
The two equations together represents a system of equations and we can solve the system for variables \(s\) and \(e\)
Hero
  • Hero
@yosoykiara are you still with me?
anonymous
  • anonymous
Would you solve for both equations?
Hero
  • Hero
We have to solve them "simultaneously".
Hero
  • Hero
But, the thing is, if you notice, in the first equation, we already have an expression for \(e\).
anonymous
  • anonymous
1.50
Hero
  • Hero
The expression for \(e\) is \(300 + s\)
Hero
  • Hero
We can insert the expression for \(e\) in place of the\(e\) in the second equation.
Hero
  • Hero
If we do do this, we will have: \(90 + 2s = 1.50(300 + s)\).
Hero
  • Hero
Now we have an equation in terms of one variable, \(s\).
Hero
  • Hero
Which you may be able to solve on your own.
anonymous
  • anonymous
It's going to be 147.96
Hero
  • Hero
Please show the work you did to arrive at that amount.
anonymous
  • anonymous
Multiply both sides by 10 10*300+10*2s=10*1.50e i rewrote the new equation to 20s+3000=40.7742 i put 400.7742 into a decimal which equals 203871/5000 then it will be 20s+3000=203871/500
anonymous
  • anonymous
multiply both sides by 5000 then it will be 100000s+150000000=203871 subtract 150000000 from both sides to get -14796129 then divide 100000/100000=-14796129/100000 s=-14796129/100000 demicial form is: -147.9613

Looking for something else?

Not the answer you are looking for? Search for more explanations.