Question

A baker has 10 cups of sugar to make cookies. Each batch calls for 113 cups of sugar.

How many batches of cookies can he make?

Enter your answer, as a mixed number in simplest form, in the box.

Answer 1

The number of batches of cookies made is
`7(1)/(2)`

Solution:

Given that, baker has 10 cups of sugar to make cookies

Each batch calls for
`1(1)/(3)` cups of sugar

To find: Number of batches of cookies can be made

From given information,

Total number of cups of sugar = 10

Cups of sugar for 1 batch =
`1(1)/(3) = (3 * 1 + 1)/(3) = (4)/(3)`

Therefore, number of batches of cookies can be made is found by dividing the total number of cups of sugar by cups of sugar for 1 batch

Thus we get,

`\text{Number of batches of cookies can be made} = \frac{\text{Total number of cups of sugar}}{\text{Cups of sugar for 1 batch}}`

Substituting the values, we get

`\text{Number of batches of cookies can be made} = (10)/((4)/(3))\\\\\text{Number of batches of cookies can be made} = 10 * (3)/(4)\\\\\text{Number of batches of cookies can be made} = (15)/(2)\\\\\text{In mixed form, we get }\\\\\rightarrow (15)/(2) = 7(1)/(2)`

Thus number of batches of cookies made is
`7(1)/(2)`