Answer:
[tex]\frac{27}{16}[/tex]
Step-by-step explanation:
Given that :
2 dozen cookies calls for [tex]\frac{3}{4}[/tex] cup sugar, hence we can write this in mathematical form as
2 dozen cookies = [tex]\frac{3}{4}[/tex] cup sugar
dividing both side by "2"
(2/2) dozen cookies = (([tex]\frac{3}{4}[/tex])/2) cup sugar
1 dozen cookies = [tex]\frac{3}{8}[/tex] cup sugar
we have to determine the sugar needed for [tex]4\frac{1}{2}[/tex] dozen cookies, so we multiply both side by [tex]4\frac{1}{2}[/tex]
([tex]4\frac{1}{2}[/tex] ) 1 dozen cookies = ([tex]4\frac{1}{2}[/tex] ) (\frac{3}{8}) cup sugar
[tex]4\frac{1}{2}[/tex] dozen cookies = ([tex]\frac{(2 x 4+1)}{2}[/tex]) ([tex]\frac{3}{8}[/tex]) cup sugar
[tex]4\frac{1}{2}[/tex] dozen cookies = ([tex]\frac{9}{2}[/tex]) ([tex]\frac{3}{8}[/tex]) cup sugar
[tex]4\frac{1}{2}[/tex] dozen cookies = ([tex]\frac{9 x 3}{8 x 2}[/tex]) cup sugar
[tex]4\frac{1}{2}[/tex] dozen cookies = ([tex]\frac{27}{16}[/tex]) cup sugar
