sat suite question viewer

Problem-Solving and Data Analysis / Ratios, rates, proportional relationships, and units Difficulty: Medium

If $\frac{x}{y} = 4$ and $\frac{24 x}{n y} = 4$ , what is the value of $n$ ?

Back question 7 of 86 Next

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86

Explanation

The correct answer is $24$ . The equation $\frac{24 x}{n y} = 4$ can be rewritten as $(\frac{24}{n}) (\frac{x}{y}) = 4$ . It's given that $\frac{x}{y} = 4$ . Substituting $4$ for $\frac{x}{y}$ in the equation $(\frac{24}{n}) (\frac{x}{y}) = 4$ yields $(\frac{24}{n}) (4) = 4$ . Multiplying both sides of this equation by $n$ yields $left parenthesis 24 right parenthesis left parenthesis 4 right parenthesis equals 4 n$ . Dividing both sides of this equation by $4$ yields $24 equals n$ . Therefore, the value of $n$ is $24$ .