Question

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?

Answer 1

(a) Amount of peanuts needed
`3(8)/(10)`cups

(b)Cups of cereal and Peanuts are needed in all is
`7(83)/(100)` cups.

Explanation:

The amount of Cereal needed in the recipe 4 3/4 cups

Now,
`4(3)/(4)  = 4 + (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 cups

Now,
`1(2)/(3)  = 1 + (2)/(3)  =  1 + 0.67 = 1.67`

⇒Amount of peanuts needed = 4.75 cups. - 1.67 cups = 3.08 cups

Now,
`3.08 = 3+ 0.08 = 3 + (8)/(10)  = 3(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 cups

Now,
`7.83 = 7+ 0.83 = 7 + (83)/(100)  = 7(83)/(100)`

Hence, cups of cereal and Peanuts are needed in all is
`7(83)/(100)` cups.