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It’s part of a positive or negative and part B what does C equals

It’s part of a positive or negative and part B what does C equals-example-1

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Part A:

The question is a word problem and we develop the system in mathematical equations.

Lashonda went to the store 4 days a week.

Each day, she bought 1 sandwich and 1 comic book.


1sandwich=\text{ \$6}
1\text{comic book = \$c}
\begin{gathered} \text{Total spent on sandwich and comic book per day = \$}(6+c) \\ Total\text{ spent on sandwich and comic book per w}eek\text{ (4days) is = \$4(6+c)} \end{gathered}

In 4days, in the week. she spent $36


\text{ \$4(6+c)=\$36}

Therefore;


4(c+6)=36

Part B:

To calculate the amount spent on each comic book, we find c.

From the equation derived in Part A, we make c the subject of the formula.


\begin{gathered} 4(6+c)=36 \\ E\text{ xpanding the bracket,} \\ 24+4c=36 \\ \text{Collecting the like terms,} \\ 4c=36-24 \\ 4c=12 \\ \text{Dividing both sides by 4,} \\ c=(12)/(4) \\ c=3 \\ c=\text{ \$3} \end{gathered}

Therefore, the amount she paid for each comic book in dollars is $3.

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