Question

A recipe for modeling clay requires 1/3 cup of salt. how many recipes of salt can carla make with 7 3/4 cups of salt

Answer 1

- The error is:
`((31)/(4))((1)/(3))`

- The correct solution is:
`(93)/(4)=23^{(1)/(4)}` (Carla can make approximately 23 recipes with the clay).

Explanation:

1. Carla must divide
`(31)/(4)` ÷
`(1)/(3)` as following:

- Take the reciprocal of
`(1)/(3)`.

- Multiply the numerators and the denominators.

Then:

`((31)/(4))((1)/(3))=((31)(3))/((4)(1))=(93)/(4)`

2. As a mixed number:

`(93)/(4)=23^{(1)/(4)}`

3. Therefore, Carla can make approximately 23 recipes with the clay.