Question

3) Mary made 1/5 of a batch of cookies in 1/10 of an hour. How many batches of cookies can she make in one hour?

Answer 1

Given in the scenario:

a.) Mary made 1/5 of a batch of cookies in 1/10 of an hour.

Let's determine how many batches of cookies can she make in one hour.

Step 1: Let's convert the given into a ratio and proportion.

Mary made 1/5 of a batch of cookies in 1/10 of an hour = 1/5 : 1/10

At x = number of batches of cookies in one hour, we get = x : 1

Step 2: Let's determine the value of x.

`((1)/(5))/((1)/(10))\text{ = }(x)/(1)`
`(1)((1)/(5))\text{ = (x)(}(1)/(10))`
`(1)/(5)\text{ = }(1)/(10)x`
`(1)(10)\text{ = (1)(5)(x) }\rightarrow\text{ 10 = 5x}`
`(5)/(5)x\text{ = }(10)/(5)`
`\text{ x = 2}`

Therefore, Mary can make 2 batches of cookies in one hour.