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Snowcat [4.5K]
2 years ago
6

Solve for x 3:21=x:16

Mathematics
2 answers:
gayaneshka [121]2 years ago
8 0

Answer:

16/7 =x

Step-by-step explanation:

We can use ratios to solve

3           x

-----  = ---------

21            16

Using cross products

3*16 = x *21

48 = 21x

Divide by 21

48/21 = x

16/7 =x

ehidna [41]2 years ago
5 0

Given:  3:21 = x:16

Find: The value of the unknown variable, x

Solution: The first step that we should take is to convert the ratios into a fraction so we can then easily cross multiply, isolate the unknown variable, and simplify the expression.

<u>Convert to fractions</u>

  • 3:21=x:16
  • \frac{3}{21}=\frac{x}{16}

<u>Cross multiply</u>

  • 3(16) = 21(x)
  • 48 = 21x

<u>Divide both sides by 21</u>

  • \frac{48}{21} = \frac{21x}{21}
  • \frac{48}{21} = x

<u>Simplify the expression</u>

  • \frac{48/3}{21/3} = x
  • \frac{16}{7} = x

Therefore, the final answer would be that the unknown would be equal to 16/7 in the ratio expression that was provided in the problem statement.

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