# You use 6 3/4 c of sugar while baking muffins and nutbread for a class party. You used a total of 1 1/2 c of sugar for the muffins. Your nutbread recipe calls for 1 3/4 c of sugar per loaf. How many loaves of nutbread did you make?

Jul 24, 2016

3 loaves

Explained in detail. With practice you would be able to skip steps.

#### Explanation:

Total sugar used: $6 \frac{3}{4}$ cups

Sugar for muffins: $1 \frac{1}{2}$ cups

Amount of sugar left: $6 \frac{3}{4} - 1 \frac{1}{2} \text{ " =" " (6-1)+(3/4-1/2)" " =" } 5 \frac{1}{4}$cups
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1 loaf uses $1 \frac{3}{4}$ cups

So the number of loaves is however many of $1 \frac{3}{4}$ we can fit into $5 \frac{1}{4}$

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So we have

$5 \frac{1}{4} \div 1 \frac{3}{4}$ this equivalent to $\frac{21}{4} \div \frac{7}{4}$

Using the shortcut method: turn $\frac{7}{4}$ upside down and multiply

$\frac{21}{4} \times \frac{4}{7}$

This is the same as

$\frac{21}{7} \times \frac{4}{4} \text{ "larr" swapped the bottom numbers round}$

But $\frac{4}{4} = 1 \text{ and } \frac{21}{7} = \frac{3}{1}$

$s o \frac{21}{7} \times \frac{4}{4} \text{ is the same as } \frac{3}{1} \times 1 = 3$