Question

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?

Answer 1

3 loaves

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

Explanation:

Total sugar used: `6 3/4` cups

Sugar for muffins: `1 1/2` cups

Amount of sugar left: `6 3/4-1 1/2" " =" " (6-1)+(3/4-1/2)" " =" "5 1/4`cups
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1 loaf uses `1 3/4` cups

So the number of loaves is however many of `1 3/4` we can fit into `5 1/4`

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So we have

`5 1/4 -: 1 3/4` this equivalent to `21/4-:7/4`

Using the shortcut method: turn `7/4` upside down and multiply

`21/4xx4/7`

This is the same as

`21/7xx4/4" "larr" swapped the bottom numbers round"`

But `4/4=1" and "21/7 = 3/1`

`so 21/7xx4/4" is the same as "3/1xx1 = 3`