Question

Baker Hazel is making several cakes for a big party. She uses ¼ cup of butter for each cake she makes. She has a big tub that has 6 cups of butter in it. She needs to save
1 ½ cups of butter to make frosting later.How many cakes can she make using the butter she has left?
Please reply fast :) Thank you !!!

Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

GIVEN

Baker Hazel is making several cakes for a big party. She uses ¼ cup of butter for each cake she makes. She has a big tub that has 6 cups of butter in it. She needs to save 1 ½ cups of butter to make frosting later

TO DETERMINE

The number of cakes Baker Hazel can make using the butter she has left

CALCULATION

Let P be the number of cakes can Baker Hazel can make using the butter she has left

Now At the beginning Baker Hazel has 6 cups of butter

Now for frosting later she has to save

$\displaystyle \sf{1 \frac{1}{2} \: \:cups \: of \: butter }$

So Baker Hazel can use

$\displaystyle \sf{6 - 1 \frac{1}{2} = 6 - \frac{3}{2} \: = \frac{9}{2} \:cups \: of \: butter }$

$\displaystyle \sf{Now \: each \: cup \:she \: requires \: \: \frac{1}{4} \: \:cups \: of \: butter }$

$\displaystyle \sf{ So \: For \: P \: cakes \: she \: requires \: \: \frac{P}{4} \: \:cups \: of \: butter }$

Hence by the given condition

$\displaystyle \sf{ \frac{ P}{4} \: = \: \frac{9}{2} \: \:}$

$\implies \: \displaystyle \sf{ P \: = \: \frac{9}{2} \times 4 \: \:}$

$\implies \: \displaystyle \sf{ P \: = \: 18 \:}$

Hence Baker Hazel can make 18 cakes using the butter she has left

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Answer 2

$Total \:Quantity \: of\: butter = 6 \:cups$

$Required \: butter \: to \:make$

$frosting \: later = 1\frac{1}{2} \:cup$

$Remaining \: butter\: left = 6 - 1\frac{1}{2}$

$= 6 - 1.5$

$= 4.5 \: cups$

$Required \: butter \: to \:make$

$each \:cake = \frac{1}{4} \:cup$

$Let \: number \:of \:cakes \: made$

$\: by \: remaining \: butter = n$

$n \times \frac{1}{4} = 4.5$

$\implies n = 4.5 \times \frac{4}{1}$

$\implies n = 18$

Therefore ,

$\red{ number \:of \:cakes \: made }$

$\red{by \: remaining \: butter}\green { = 18}$

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