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