9 pencils cost $7.74. Which equation would help determine the cost of 6 pencils? Choose 1 answer: (A) (6)/(x)=(9)/($7.74) (B) (x)/(6)=(9)/($7.74) (c) (9)/(6)=(x)/($7.74) (D) (6)/(x)=($7.74)/(9) (E) None of the above

Set up proportion: To find the cost of 6 pencils, we need to set up a proportion where the cost of pencils is directly proportional to the number of pencils.Represent with equation: Let x represent the cost of 6 pencils. We know that 9 pencils cost $7.74. We can set up the proportion as follows: the cost per pencil for 9 pencils should be the same as the cost per pencil for 6 pencils.Solve for x: The correct equation to represent this situation is (x)/(6) = ($7.74)/(9), because we are looking for the cost of 6 pencils (x), and we know the cost of 9 pencils ($7.74).Now we solve the proportion for x: (x)/(6) = ($7.74)/(9) x = (6) * ($7.74)/(9) x = $5.154 (rounded to three decimal places)

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9 pencils cost
$7.74.
Which equation would help determine the cost of 6 pencils?
Choose 1 answer:
(A)
(6)/(x)=(9)/($7.74)
(B)
(x)/(6)=(9)/($7.74)
(c)
(9)/(6)=(x)/($7.74)
(D)
(6)/(x)=($7.74)/(9)
(E) None of the above

$9$ pencils cost $\$ 7.74$ . $\newline$ Which equation would help determine the cost of $6$ pencils? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{6}{x}=\frac{9}{\$ 7.74}$ $\newline$ (B) $\frac{x}{6}=\frac{9}{\$ 7.74}$ $\newline$ (C) $\frac{9}{6}=\frac{x}{\$ 7.74}$ $\newline$ (D) $\frac{6}{x}=\frac{\$ 7.74}{9}$ $\newline$ (E) None of the above

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Math Problems

Algebra 1

Solve a system of equations using any method: word problems

Full solution

9

pencils cost

\$ 7.74

\newline

Which equation would help determine the cost of

6

pencils?

\newline

Choose

1

answer:

\newline

(A)

\frac{6}{x}=\frac{9}{\$ 7.74}

\newline

(B)

\frac{x}{6}=\frac{9}{\$ 7.74}

\newline

(C)

\frac{9}{6}=\frac{x}{\$ 7.74}

\newline

(D)

\frac{6}{x}=\frac{\$ 7.74}{9}

\newline

(E) None of the above

Set up proportion: To find the cost of $6$ pencils, we need to set up a proportion where the cost of pencils is directly proportional to the number of pencils.
Represent with equation: Let $x$ represent the cost of $6$ pencils. We know that $9$ pencils cost $\$7.74$ . We can set up the proportion as follows: the cost per pencil for $9$ pencils should be the same as the cost per pencil for $6$ pencils.
Solve for x: The correct equation to represent this situation is $\frac{x}{6} = \frac{(\$7.74)}{9}$ , because we are looking for the cost of $6$ pencils ( $x$ ), and we know the cost of $9$ pencils ( $\$7.74$ ).
Solve for x: The correct equation to represent this situation is $\frac{x}{6} = \frac{(\$7.74)}{9}$ , because we are looking for the cost of $6$ pencils (x), and we know the cost of $9$ pencils ( $\$7.74$ ).Now we solve the proportion for x: $\newline$ $\frac{x}{6} = \frac{(\$7.74)}{9}$ $\newline$ $x = 6 \times \frac{(\$7.74)}{9}$ $\newline$ $x = \$5.154$ (rounded to three decimal places)