Question

Bella volunteers to make cookies for her math class. Each batch of cookies requires 1 2/3 cups of flour. If she has 12 cups of flour, how many batches of cookies can she make?

Answer 1

Answer:

No of cookies that can be made with 1 2/3 cups of flour = 1 batch of cookies

No of cookies that can be made with 12 cups of floor = 12 divided by 1 2/3

= 12/1 ÷ 1 2/3

= 1 2/3 as an improper fraction = 3 × 1 + 2 / 3

= 1 2/3 = 5/3

No of cookies that can be made with 12 cups of floor = 12 divided by 5/3

= 12/1 ÷ 5/3

=Division is same as multiplying the dividend with the reciprocal of the divisor .

Hence , 12/1 ÷ 5/3 will be same as 12/1 × 3/5

12/1 × 3/5 = 12 × 3 / 5 × 1

12/1 × 3/5 = 36/5

36/5 as a mixed fraction = 7 1/5

No of cookies that can be made with 12 cups of floor = 12 divided by 5/3 = 7 1/5 or 36/5 no. of batch of cookies .

Therefore , with 12 cups of flour Bella can make 7 1/5 or 36/5 batch of cookies .

Hope you find my answer useful!!!

Answer 2

Given : Each batch of cookies requires 1⅔ cups of flour. She has 12 cups of flour.

To find : How many batches of cookies can she make?

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the number of batches)

Here, we will be using general arithmetic method to calculate the number of batches.

So,

For 1 batch she need :

= 1⅔ cups of flour

= $(\frac{3 \times 1 + 2}{3})$ cups of flour

= $\frac{5}{3}$ cups of flour

Now,

$\frac{5}{3}$ cups of flour can make = 1 batch

1 cup of flour can make = $(1 \times \frac{3}{5})$ batch

12 cups of flour can make = $(12 \times 1 \times \frac{3}{5} )$ batches

12 cups of flour can make = $\frac{36}{5}$ batches

12 cups of flour can make = 7⅕ batches

(This will be considered as the final result.)

Hence, 7⅕ batches can be made by using 12 cups of flour.