Question

Tyra has 12 2/3 cups of sugar. If r is the amount of sugar called for in one batch of cookies, the expression 12 2/3 ÷ r can be used to find how many batches Tyra can make with the sugar she has. If r is 2/3 cup, how many batches of cookies can Tyra make? Enter your answer in the box. Quick I need help plz.

Answer 1

19 batches

Explanation:

Given that:

Total number of cups of sugar =
`12(2)/(3)`

Amount of sugar used in one batch =
`r`

Number of batches that can be made by Tyra with the amount of sugar that is available with Tyra can be calculated by dividing the total number of cups of sugar available with Tyra with the amount of sugar to be used in one batch.

i.e.

Number of batches =
`12(2)/(3) / r`

Also, if we put the value:

`r=(2)/(3)`

We have to find the number of batches of cookies that can be made by Tyra.

Solution:

First of all, let us have a look at the formula to convert the mixed fraction into fractional number.

`a(b)/(c) = (a* c + b)/(c)`

Therefore,

`12(2)/(3) = (12* 3 + 2)/(3) = (38)/(3)`

Number of batches:

`(38)/(3) / (2)/(3)\\\Rightarrow (38)/(3) * (3)/(2)\\\Rightarrow \bold{19}`

Therefore, 19 batches can be completed.