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y=7

×
4

1
7

2
2

3
2

4
2

Kirsten is making gingerbrea grams to ounces. The equatio
x grams.

$10$ . $y=7$ $\newline$ \begin{tabular}{l|l} $\newline$ $\times$ & $4$ \\ $\newline$ \hline $1$ & $7$ \\ $\newline$ $2$ & $2$ \\ $\newline$ $3$ & $2$ \\ $\newline$ $4$ & $2$ $\newline$ \end{tabular} $\newline$ $13$ . Kirsten is making gingerbrea grams to ounces. The equatio $x$ grams.

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Convert between customary and metric systems

Full solution

Q.

10

.

y=7

\newline

\begin{tabular}{l|l}

\newline

\times

&

4

\\

\newline

\hline

1

&

7

\\

\newline

2

&

2

\\

\newline

3

&

2

\\

\newline

4

&

2

\newline

\end{tabular}

\newline

13

. Kirsten is making gingerbrea grams to ounces. The equatio

x

grams.

Set up proportion: question_prompt: How many ounces is Kirsten's gingerbread if she has $y$ grams and the conversion factor is $7$ grams to $4$ ounces? $\newline$ Step $1$ : Set up the proportion to convert grams to ounces using the given conversion factor. $\newline$ $\frac{y \text{ grams}}{7 \text{ grams}} = \frac{x \text{ ounces}}{4 \text{ ounces}}$
Cross multiply: Step $2$ : Cross multiply to solve for $x$ , the number of ounces. $y \times 4 = x \times 7$
Divide to isolate: Step $3$ : Divide both sides by $7$ to isolate $x$ and find the number of ounces. $\newline$ $x = \frac{y \times 4}{7}$
Substitute and solve: Step $4$ : Since Kirsten has $y$ grams, substitute $y$ with the given number of grams to find $x$ . Let's say $y = 28$ grams (as an example, since the actual value of $y$ was not provided). $x = (28 \times 4) / 7$
Calculate final value: Step $5$ : Calculate the value of $x$ to find the number of ounces. $\newline$ $x = (28 \times 4) / 7$ $\newline$ $x = 112 / 7$ $\newline$ $x = 16$

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