Proportional Ratios

Level 1

For what value of the star are the ratios proportional?

⋆ + 5 : 6 \star + 5 : 6

and

⋆ + 40 : 36 \star + 40 : 36


The answer is 2.

Janae Pritchett by Janae Pritchett

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1 solution

Tom Engelsman
Jan 17, 2021

We have x + 5 6 = x + 40 36 ⇒ 36 x + 180 = 6 x + 240 ⇒ 30 x = 60 ⇒ x = 2 . \frac{x+5}{6} = \frac{x+40}{36} \Rightarrow 36x+180=6x+240 \Rightarrow 30x = 60 \Rightarrow \boxed{x=2}.

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