Question

Amy needs to use a combination of the 12-cup and 36-cup baking pans to fill the order. With only eighteen 12-cup baking pans in her shop, how many of the 36-cup baking pans does she need to complete the order? ​

Answer 1

See explanation

Explanation:

The question is incomplete, as the total orders is not given.

To solve this question, I will assume a value for the total number of order.

Let

`x \to 12-cup`

`n_x = 18` ---- number of 12-cup

`y \to 36-cup`

`n_y = ??` ---- number of 36-cup

`n \to` Total order

Required

Calculate
`n_y`

To do this, we make use of the following equation:

`n_x * x + n_y * y = n`

Substitute known values

`18 * 12 + n_y * 36 = n`

`216 + 36n_y= n`

Collect like terms

`36n_y= n - 216`

Divide both sides by 36

`n_y= (n - 216)/(36)`

Assume the number of orders is: 540 cups

The equation becomes

`n_y= (540 - 216)/(36)`

`n_y= (324)/(36)`

`n_y= 9`