Question

Solve for x 3:21=x:16

Answer 1

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

Answer 2

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

• $3:21=x:16$

• $\frac{3}{21}=\frac{x}{16}$

Cross multiply

• $3(16) = 21(x)$

• $48 = 21x$

Divide both sides by 21

• $\frac{48}{21} = \frac{21x}{21}$

• $\frac{48}{21} = x$

Simplify the expression

• $\frac{48/3}{21/3} = x$

• $\frac{16}{7} = x$

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.