The fraction of the brownies were eaten is [tex]\frac{19}{24}[/tex].
Step-by-step explanation:
Isabel and Jared each made a pan of brownies . After the first day, there was 1/4 of one pan and 2/12 of the other pan left.
We have to find the fraction of the brownies were eaten?
Let suppose:
Total size of brownies made by Isabel (I) = 1
As mentioned, the size of both the brownies is same, therefore,
Total size of brownies made by Jared (J) = 1
Total size of brownie (T) = 1 + 1 = 2
To calculate the fraction of eaten brownie, we will use following formula:
Fraction of brownie eaten = Total Eaten brownies (E)/ Total brownies (T) (i)
Eaten brownie = total brownie - left brownie
Eaten brownie (Isabel) = [tex]1-\frac{ 1}{4}[/tex]
Eaten brownie (Isabel) = [tex]\frac{ 3}{4}[/tex]
Eaten brownie (Jared) = [tex]1-\frac{ 2}{12}[/tex]
Eaten brownie (Isabel) = [tex]\frac{ 10}{12}[/tex]
Total eaten brownies (E) = [tex]\frac{3}{4} +\frac{10}{12}[/tex]
Total eaten brownies (E) = [tex]\frac{19}{12}[/tex]
So putting the values of T and E in equation (i), we get
Fraction of brownie eaten = [tex]\frac{E}{T}[/tex]
Fraction of brownie eaten = [tex]\frac{\frac{19}{12} }{2}[/tex]
Fraction of brownie eaten = [tex]\frac{19}{24}[/tex]
Hence, the fraction of the brownies were eaten is [tex]\frac{19}{24}[/tex].
Keywords: Fraction
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