Question

If $6\frac{3}{5}=\frac{x}{100}=\frac{y}{1000}$, find x and y.

• A. x = 6600, y = 660
• B. x = 660, y = 6600
• C. x = 660, y = 660
• D. x = 66, y = 660

Answer 1

The correct option is B x = 660, y = 6600

$6\frac{3}{5}=\frac{x}{100}=\frac{y}{1000}$

$6\frac{3}{5}=\frac{33}{5}$(converting to improper fraction)

$\frac{33}{5}$

Multiplying both numerator and denominator by 20, we have

$\frac{33\times 20}{5\times 20}=\frac{660}{100}=\frac{x}{100}$

$\therefore \underset{–}{x=660}$

$\frac{33}{5}$

Multiplying both numerator and denominator by 200, we have

$\frac{33\times 200}{5\times 200}=\frac{6600}{1000}=\frac{x}{1000}$

$\therefore \underset{–}{y=6600}$

$\therefore x=660,y=6600$