-to-make-2-liters-total-solve-for-x-the-scale-factor-by-clearing-fractions-first

Question

A pharmacist combines 38x\displaystyle \frac{3}{8}x liters of Solution A with 14x\displaystyle \frac{1}{4}x liters of Solution B to create a 22-liter mixture. By clearing the fractions first, determine the value of the scale factor xx.

Accepted Answer

x=165\displaystyle x = \frac{16}{5}

Answer

x=516\displaystyle x = \frac{5}{16}

Answer

x=85\displaystyle x = \frac{8}{5}

Answer

x=2x = 2

A pharmacist combines 38x\(\displaystyle\) \(\frac{3}{8}\)x liters of Solution A with 14x\(\displaystyle\) \(\frac{1}{4}\)x liters of Solution B to create a 22-liter mixture. By clearing the fractions first, determine the value of the scale factor xx.

A pharmacist combines $\frac{3}{8} x$ liters of Solution A with $\frac{1}{4} x$ liters of Solution B to create a $2$ -liter mixture. By clearing the fractions first, determine the value of the scale factor $x$ .