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A pancake recipe require 1 2/3 cups of flour to make 20 pancakes and you have 9 cups of flour.
a. How many pancakes can you make with 1 cup of flour?
b. How many pancakes can you make with 9 cups of flour?
C. Do you have enough to make 100 pancakes? Explain

Respuesta :

Solution (a) :-

Quantity of flour needed to make 20 pancakes =

[tex] = 1 \frac{2}{3} \: [/tex]

[tex] = \frac{3 \times 1 + 2}{3} [/tex]

[tex] = \frac{5}{3} \: cups \: of \: flour[/tex]

Then , number of pancakes that can be made from 1 cup of floor :-

[tex]20 \div \frac{5}{3} [/tex]

[tex]20 \times \frac{3}{5} [/tex]

[tex] \frac{60}{5} [/tex]

[tex] = 12 \: pancakes[/tex] .

Therefore , 12 pancakes can be made from 1 cup of floor .

Solution (b) :-

Number of pancakes that can be made with 1 cup of flour = 12 pancakes

Number of pancakes that can be made with 9 cups of flour :-

= 9 × 12

= 108 pancakes

Therefore , I can make 108 pancakes with 9 cups of flour .

Solution (c) :-

Yes , I have enough flour to make 100 pancakes . I say this because :-

With one cup of flour I can make = 12 pancakes

With 9 cups of flour I can make =

= 9 × 12

= 108 pancakes

As I can make 108 pancakes with 9 cups of flour , I can conclude that I have enough flour to make 100 pancakes .