Question

99 pencils cost \$7.74$7.74dollar sign, 7, point, 74. Which equation would help determine the cost of 666 pencils? Choose 1 answer: Choose 1 answer: (Choice A) A \dfrac{6}{x} = \dfrac{9}{\$7.74} x 6 ​ = $7.74 9 ​ start fraction, 6, divided by, x, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction (Choice B) B \dfrac{x}{6} = \dfrac{9}{\$7.74} 6 x ​ = $7.74 9 ​ start fraction, x, divided by, 6, end fraction, equals, start fraction, 9, divided by, dollar sign, 7, point, 74, end fraction (Choice C, Checked) C \dfrac{9}{6} = \dfrac{x}{\$7.74} 6 9 ​ = $7.74 x ​ start fraction, 9, divided by, 6, end fraction, equals, start fraction, x, divided by, dollar sign, 7, point, 74, end fraction (Choice D) D \dfrac{6}{x} = \dfrac{\$7.74}{9} x 6 ​ = 9 $7.74 ​ start fraction, 6, divided by, x, end fraction, equals, start fraction, dollar sign, 7, point, 74, divided by, 9, end fraction (Choice E) E None of the above

Answer 1

correct

Explanation:

Answer 2

`\large \boxed{\text{A) } (6)/(x) = (9)/(\$7.74)}`

Explanation:

9 pencils cost $7.74

6 pencils cost x

The ratios are

`(9)/(6) = (\$7.74)/(x)`

According to the alternendo property,

`(9)/(6) = (\$7.74)/(x) \Rightarrow (9)/(\$7.74) = (6)/(x)\\\\\text{The correct answer is $\large \boxed{\mathbf{ (6)/(x) = (9)/(\$7.74)}}$}`