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anonymous
 one year ago
Can someone walk me through solving this?
anonymous
 one year ago
Can someone walk me through solving this?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I would, but the wording is a bit confusing..

Hero
 one year ago
Best ResponseYou've already chosen the best response.1They're mixing the everyday moisturizing lotion together with the selftanning lotion to produce an experimental lotion.

Hero
 one year ago
Best ResponseYou've already chosen the best response.1Each kind of lotion is measured in ounces.

Hero
 one year ago
Best ResponseYou've already chosen the best response.1They give us the amount of ounces for the everyday moisturizing lotion: 300 ounces.

Hero
 one year ago
Best ResponseYou've already chosen the best response.1They do not give us the amount of ounces of the other two lotions so we have to create variables for them.

Hero
 one year ago
Best ResponseYou've already chosen the best response.1Let us represent the total ounces of self tanning lotion as variable \(s\) and the total ounces of experimental lotion as variable \(e\).

Hero
 one year ago
Best ResponseYou've already chosen the best response.1Then we have the following equation: \(300 + s = e\)

Hero
 one year ago
Best ResponseYou've already chosen the best response.1Next they tell us how much each kind of lotion costs per ounce.

Hero
 one year ago
Best ResponseYou've already chosen the best response.1The 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
 one year ago
Best ResponseYou've already chosen the best response.1We 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.

Hero
 one year ago
Best ResponseYou've already chosen the best response.1We 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
 one year ago
Best ResponseYou've already chosen the best response.1Yes the total cost of the everyday moisturizing lotion is $90

Hero
 one year ago
Best ResponseYou've already chosen the best response.1The 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
 one year ago
Best ResponseYou've already chosen the best response.1This 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
 one year ago
Best ResponseYou've already chosen the best response.1We 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
 one year ago
Best ResponseYou've already chosen the best response.1The two equations together represents a system of equations and we can solve the system for variables \(s\) and \(e\)

Hero
 one year ago
Best ResponseYou've already chosen the best response.1@yosoykiara are you still with me?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Would you solve for both equations?

Hero
 one year ago
Best ResponseYou've already chosen the best response.1We have to solve them "simultaneously".

Hero
 one year ago
Best ResponseYou've already chosen the best response.1But, the thing is, if you notice, in the first equation, we already have an expression for \(e\).

Hero
 one year ago
Best ResponseYou've already chosen the best response.1The expression for \(e\) is \(300 + s\)

Hero
 one year ago
Best ResponseYou've already chosen the best response.1We can insert the expression for \(e\) in place of the\(e\) in the second equation.

Hero
 one year ago
Best ResponseYou've already chosen the best response.1If we do do this, we will have: \(90 + 2s = 1.50(300 + s)\).

Hero
 one year ago
Best ResponseYou've already chosen the best response.1Now we have an equation in terms of one variable, \(s\).

Hero
 one year ago
Best ResponseYou've already chosen the best response.1Which you may be able to solve on your own.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0It's going to be 147.96

Hero
 one year ago
Best ResponseYou've already chosen the best response.1Please show the work you did to arrive at that amount.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Multiply 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
 one year ago
Best ResponseYou've already chosen the best response.0multiply 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
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