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Solve for x 3:21=x:16

User Acalypso
by
7.9k points

2 Answers

9 votes

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.

Convert to fractions


  • 3:21=x:16

  • (3)/(21)=(x)/(16)

Cross multiply


  • 3(16) = 21(x)

  • 48 = 21x

Divide both sides by 21


  • (48)/(21) = (21x)/(21)

  • (48)/(21) = x

Simplify the expression


  • (48/3)/(21/3) = x

  • (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.

User Peetya
by
7.4k points
12 votes

Answer:

16/7 =x

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

User GalAbra
by
7.9k points

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