Let us combine all cups and table spoons together.
Total number of cups = [tex]\frac{3}{4}+\frac{1}{2}+1+\frac{2}{3} +\frac{1}{2} = \frac{41}{12} cups[/tex]
Total number of teaspoons = [tex]\frac{1}{4} +\frac{1}{4} =\frac{1}{2} teaspoons[/tex]
But given 1 teaspoon is approximately [tex]\frac{1}{50} cup[/tex]
Hence [tex]\frac{1}{2} teaspoons = \frac{1}{2} *\frac{1}{50} =\frac{1}{100} cups[/tex]
Total number of table spoons = 2
= 2*3 teaspoons (since 1 tablespoon=3 teaspoons)
= 6 teaspoons
= [tex]6*\frac{1}{50} =\frac{3}{25} cups[/tex]
So far we calculated number of cups and converted total number of teaspoons and tablespoons into cups.
Let's add all of them together to get number of cups of smoothies does Paige's recipe make.
Total cups of smoothie = [tex]\frac{41}{12}+\frac{1}{100} +\frac{3}{25} = \frac{1064}{300}= 3.547 cups[/tex]
So it will Paige's smoothie will be 3.6 cups approximately.