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11 votes
11 votes
Peter Pan works at the Stay Young Factory mixing the “Don’t Grow Up” formula. He is combining chemical A which costs $5.10 an ounce and chemical Z that has a price of $2.10 an ounce. The formula weighs 5 ounces and costs $3.60 per ounce. Peter Pan made the table below to help determine the amount of each chemical for the mix. What is the missing number in the table?

User Andre Gallo
by
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1 Answer

5 votes
5 votes

18

Step-by-step explanation

Step 1

let

x represents the amount of chemical A ( in ounces)

y represents the amount of chemical B ( in ounces)

as the weigth of the formula is 5 ounces


x+y=5\rightarrow equation(1)

so, if the cost of Chemical A is $5.1 per ounces, the total cost of the chemical A is


The\text{ cost of the chemical A=5.1x}

and if the cost of Chemical Z is $2.1 per ounces, the total cost of the chemical Z is


The\text{ cost of the chemical Z=2.1y}

now, the cost of the formula will be


\begin{gathered} Cost\text{ of chemical A+cost of chemical Z= cost of the formula} \\ 5.1x+2.1y=Cost\text{ of the formula} \end{gathered}

Step 2

we are told the weigh of the formula is 5 ounces and it cost $3.6 per ounces, so the total cost of the formula is


\begin{gathered} \cos t\text{ of the formula= rate}\cdot amount\text{ of ounces} \\ \text{Total cost of the formula=3.6 }\frac{dollars}{\text{ounces}}\cdot5\text{ ounces} \\ \text{Total cost of the formula=}18\text{ dollars} \end{gathered}

now, replace.


\begin{gathered} 5.1x+2.1y=Cost\text{ of the formula} \\ 5.1x+2.1y=18 \end{gathered}

so, the missing value in the table is 18

I hope this helps you

User Vincent Moulene
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