Answer:
(a) Amount of peanuts needed [tex]3\frac{8}{10}[/tex]cups
(b)Cups of cereal and Peanuts are needed in all is [tex]7\frac{83}{100}[/tex] cups.
Step-by-step explanation:
The amount of Cereal needed in the recipe 4 3/4 cups
Now, [tex]4\frac{3}{4} = 4 + \frac{3}{4} = 4 + 0.75 = 4.75[/tex]
So, the cups of cereal required = 4.75 cups.
Now, the amount of peanuts needed in the recipe
= Amount of Cereal - 1 and 2/3 cups
Now, [tex]1\frac{2}{3} = 1 + \frac{2}{3} = 1 + 0.67 = 1.67[/tex]
⇒Amount of peanuts needed = 4.75 cups. - 1.67 cups = 3.08 cups
Now, [tex]3.08 = 3+ 0.08 = 3 + \frac{8}{10} = 3\frac{8}{10}[/tex]
Also, the total cereal and peanuts needed in all
= Cups of cereal needed + cups of peanuts needed
= 4.75 cups + 3.08 cups = 7.83 cups
Now, [tex]7.83 = 7+ 0.83 = 7 + \frac{83}{100} = 7\frac{83}{100}[/tex]
Hence, cups of cereal and Peanuts are needed in all is [tex]7\frac{83}{100}[/tex] cups.