Question

Margaret uses 1 3/4 teaspoon of vanilla to make 12 vanilla cupcakes. She wants to make 30 cupcakes. How much vanilla will Margaret use?

Answer 1

4 3/8
or
35/8
................

Answer 2

`4(3)/(8)` teaspoon vanilla

Explanation:

Margaret uses
`1(3)/(4)` teaspoon of vanilla to make 12 vanilla cupcakes.

First we change mixed fraction to fraction

`1(3)/(4)\Rightarrow (7)/(4)`

For 12 cupcakes of vanilla =
`(7)/(4)` teaspoon vanilla

For 1 cupcakes of vanilla =
`(7)/(4)/ 12=(7)/(48)` teaspoon vanilla

For 30 cupcakes of vanilla =
`(7)/(48)* 30` teaspoon vanilla

=
`(35)/(8)` teaspoon vanilla

=
`4(3)/(8)` teaspoon vanilla

Hence, Margaret uses
`4(3)/(8)` teaspoon vanilla for 30 cupcakes