Q:

Isabel and Jared each made a pan of brownies . Their pans of brownies were exactly the same size. After the first day, there was 1/4 of one pan and 2/12 of the other pan left. What fraction of the brownies were eaten? Show your work

Accepted Solution

A:
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) = 1As mentioned, the size of both the brownies is same, therefore,Total size of brownies made by Jared (J) = 1Total size of brownie (T) = 1 + 1 = 2To 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 getFraction 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 Learn more about fraction at: