Chapter 6.1, Problem 36HP

To determine

To select a ratio that does not have the same value as of other given ratios.

Answer to Problem 36HP

Ratio $2qt=3$ gallon actually forms the ratio $\frac{1}{6}$ that is different from other given ratios.

Explanation of Solution

Given information: Four given ratios (i) 2 boys: 3 girls (ii) 2 qt : 3 gal (iii) 2 spoon : 3 utensils

(iv) 2 ft : 3 ft

Concept used: Units of both quantities in a ratio should be same. So, for second ratio, use the conversion formula:

1 quarts = 0.25 gallon,

Calculation: Based on above conversion formula, $2quarts=0.5gallon$

So, ratio 2 qt: 3 gal = 0.5 gal: 3 gal = 1 gal : 6 gal

And second ratio 2 qt:3 gal $=\frac{1}{6}$

Conclusion: By above calculation, it is cleared that the value of second ratio is not the same as $\frac{2}{3}$ as that of other given ratios.