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9-152.

These volume measures are all equivalent:

$1$ gallon

$4$ quarts

$8$ pints

$16$ cups

Rewrite each of the following volume measures using at least two different units. For example, $2$ gallons can be rewritten as $8$ quarts, $16$ pints, or $32$ cups.

1. $\frac { 1 } { 2 }$ gallon

$\frac{4\text{ quarts}}{1\text{ gallon}}=\frac{x\text{ quarts}}{\frac{1}{2}\text{ gallon}}$

$x = 2$ quarts

1. 2 pints

$2$ pints is a quarter of $8$ pints, or a quarter of one gallon. How many quarts is that? How many cups?

1. 3 cups

You can set up proportions as shown in part (a) or use logic, as shown in part (b). Which way do you prefer?