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Let’s check out your problem:

7 watermelons cost
$8.96.
Which equation would help determine the cost of 5 watermelons?
Choose 1 answer:
(A)
(x)/(5)=($8.96)/(7)
(B)
(x)/(5)=(7)/($8.96)
(c)
(7)/(5)=(x)/($8.96)
(D)
(5)/(x)=($8.96)/(7)
(E) None of the above

$7$ watermelons cost $\$ 8.96$ . $\newline$ Which equation would help determine the cost of $5$ watermelons? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{x}{5}=\frac{\$ 8.96}{7}$ $\newline$ (B) $\frac{x}{5}=\frac{7}{\$ 8.96}$ $\newline$ (C) $\frac{7}{5}=\frac{x}{\$ 8.96}$ $\newline$ (D) $\frac{5}{x}=\frac{\$ 8.96}{7}$ $\newline$ (E) None of the above

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Solve a system of equations using any method: word problems

Full solution

Q.

7

watermelons cost

\$ 8.96

.

\newline

Which equation would help determine the cost of

5

watermelons?

\newline

Choose

1

answer:

\newline

(A)

\frac{x}{5}=\frac{\$ 8.96}{7}

\newline

(B)

\frac{x}{5}=\frac{7}{\$ 8.96}

\newline

(C)

\frac{7}{5}=\frac{x}{\$ 8.96}

\newline

(D)

\frac{5}{x}=\frac{\$ 8.96}{7}

\newline

(E) None of the above

Set Up Proportion: To find the cost of $5$ watermelons, we need to set up a proportion where we compare the cost of $5$ watermelons to the cost of $7$ watermelons.
Represent Cost with Variables: Let $x$ represent the cost of $5$ watermelons. We know that $7$ watermelons cost $\$8.96$ . We can set up the proportion as the cost of $5$ watermelons ( $x$ ) over $5$ is equal to the cost of $7$ watermelons ( $\$8.96$ ) over $7$ .
Create Correct Equation: The correct equation that represents this situation is $\frac{x}{5} = \frac{(\$8.96)}{7}$ . This is because we are trying to find the cost of a different number of watermelons ( $5$ instead of $7$ ), so we set up a ratio comparing the cost per watermelon.
Final Answer: The correct answer is therefore $(A) \frac{x}{5} = \frac{(\$8.96)}{7}$ .

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