Question

Serenity has 2\frac{1}{2} 2 1 ​ cups of dough to make dumplings. If she uses \frac{3}{4} 4 3 ​ cup of dough for each dumpling, how many whole dumplings can Serenity make?

Answer 1

3 dumplings can be made by Serenity

Solution:

Given that,

Serenity has
`2(1)/(2)` cups of dough to make dumplings

She uses
`(3)/(4)` cup of dough for each dumpling

To find: Number of whole dumplings made

From given information,

`\text{Total cups of dough } = 2(1)/(2) = (2 * 2+1)/(2) =(5)/(2)`

`\text{Cups of dough for 1 dumpling } = (3)/(4)`

To find the number of whole dumplings made, we can divide the total cups of dough by cups of dough for 1 dumpling

`\text{Number of whole dumplings made } = \frac{\text{total cups of dough}}{\text{cups of dough for 1 dumpling}}\\\\\text{Number of whole dumplings made } = ((5)/(2))/((3)/(4)) = (5)/(2) * (4)/(3)\\\\\text{Number of whole dumplings made } = (10)/(3) = 3.33 \approx 3`

Thus 3 dumplings can be made