Question

Pia used 2/3 of her sugar to make 3/4 of a batch of cookies. How much of her sugar would she need to make the whole batch? Write the expression you would use and then solve it.

Answer 1

Let x represent the amount of sugar needed to make one batch of cookies.

We have been given that Pia used
`(2)/(3)` of her sugar to make
`(3)/(4)` of a batch of cookies. We are asked to find the amount of sugar needed to make whole batch.

We can represent our given information in an equation as:

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

Let us solve for x.

`(4)/(3)\cdot (3)/(4)x=(4)/(3)\cdot (2)/(3)`

`x=(4\cdot 2)/(3\cdot 3)`

`x=(8)/(9)`

Therefore, Pia needs
`(8)/(9)` of her sugar to make 1 whole batch of cookies.