## Algebra: A Combined Approach (4th Edition)

(Note: x:y is same as $\frac{x}{y}$) Given: 3 ounces of concentrate are mixed with 2 gallons of water. Thus ratio of concentrate to water = 3:2 Let new amount of concentrate be x ounces. Given that 'x' ounces are mixed with 5 gallons of water. Thus ratio of concentrate to water = x:5 Since the ratios are equal, $\frac{3}{2}$ = $\frac{x}{5}$ Cross multiplying, 2x =15, x = $\frac{15}{2}$ Thus x = 7.5 ounces of concentrate