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

Answer:

$\large \boxed{\text{A) } \dfrac{6}{x} = \dfrac{9}{\ 7.74}}$

Step-by-step explanation:

9 pencils cost $7.74

6 pencils cost x

The ratios are  

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

According to the alternendo property,

$\dfrac{9}{6} = \dfrac{\ 7.74}{x} \Rightarrow \dfrac{9}{\ 7.74} = \dfrac{6}{x}\\\\\text{The correct answer is \large \boxed{\mathbf{ \dfrac{6}{x} = \dfrac{9}{\ 7.74}}} }$