A recipe for snack mix call for 4 3/4 cups of cereal the amount of peanuts needed is 1 and 2/3 cups less than the amount of cereal needed

How many cups of peanuts?

How many cups of cereal and Peanuts are needed in all?

Respuesta :

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.

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