Answer:
Flour [tex]5\dfrac{1}{2}\ c[/tex]
Sugar [tex]2\dfrac{2}{3}\ c[/tex]
Butter [tex]1\dfrac{1}{2}\ c[/tex]
Eggs [tex]2[/tex]
Baking powder [tex]7\ t[/tex]
Vanilla extract [tex]3\ t[/tex]
Step-by-step explanation:
There will be 16 people at the party. Each person will eat 3 cookies, so all people will eat [tex]16\cdot 3=48[/tex] cookies.
Given cookie recipe makes 24 cookies, so to make 48 cookies you need
[tex]48:24=2[/tex] portions.
Thus,
1 portion 2 portions
Flour [tex]2 \dfrac{3}{4}\ c[/tex] [tex]2\dfrac{3}{4}\cdot 2=2\cdot 2+\dfrac{3}{4}\cdot 2=4+\dfrac{3}{2}=4+1 \dfrac{1}{2}=5\dfrac{1}{2}\ c[/tex]
Sugar [tex]1\dfrac{1}{3}\ c[/tex] [tex]1\dfrac{1}{3}\cdot 2=1\cdot 2+\dfrac{1}{3}\cdot 2=2+\dfrac{2}{3}=2\dfrac{2}{3}\ c[/tex]
Butter [tex]\dfrac{3}{4}\ c[/tex] [tex]\dfrac{3}{4}\cdot 2=\dfrac{3}{2}=1\dfrac{1}{2}\ c[/tex]
Eggs [tex]1[/tex] [tex]1\cdot 2=2[/tex]
Powder [tex]3\dfrac{1}{2}\ t[/tex] [tex]3\dfrac{1}{2}\cdot 2=3\cdot 2+\dfrac{1}{2}\cdot 2=6+1=7\ t[/tex]
Vanilla [tex]1\dfrac{1}{2}\ t[/tex] [tex]1\dfrac{1}{2}\cdot 2=1\cdot 2+\dfrac{1}{2}\cdot 2=2+1=3\ t[/tex]
