Question

Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda to make a batch of cookies. Which equation should she use to find the number of teaspoons of baking soda, x, needed if she uses 9 cups of sugar?​

Answer 1

Given:

Trisha uses 3 cups of sugar for every 2 teaspoons of baking soda to make a batch of cookies.

To find:

The equation that she should use to find the number of teaspoons of baking soda, x, needed if she uses 9 cups of sugar.

Solution:

Let the number of teaspoons of baking soda be x, that is needed if she uses 9 cups of sugar.

For every 2 teaspoons of baking soda Trisha uses 3 cups of sugar.

For every 1 teaspoons of baking soda Trisha uses
`(3)/(2)` cups of sugar.

For every x teaspoons of baking soda Trisha uses
`(3)/(2)x` cups of sugar.

Since she uses 9 cups of sugar for every x teaspoons of baking soda, therefore,

`(3)/(2)x=9`

Multiply both sides by 2.

`3x=18`

Divide both sides by 3.

`x=6`

Therefore, the required equation is
`(3)/(2)x=9` and the number of required teaspoons of baking soda is 6.