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?

1 Answer
Tony B
Jul 24, 2016

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
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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#

'............................................................

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#

Related questions
See all questions in Problem-Solving Models
Impact of this question
4046 views around the world
You can reuse this answer
Creative Commons License