MATH SOLVE

1 month ago

Q:
# 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 neededHow many cups of peanuts?How many cups of cereal and Peanuts are needed in all?

Accepted Solution

A:

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 cupsNow, [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 cupsNow, [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 cupsNow, [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 cupsNow, [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.