Question

Anna has a recipe for pumpkin bars. She uses 2 ½ cups of sugar for every 3 pans of pumpkin bars. AJ wants to follow the same recipe. He will make h pans of pumpkin bars using g cups of sugar. Which of these equations best represents the relationship between h and g?

Answer 1

`2.5h = 3g`

Explanation:

Given

`Sugar = 2(1)/(2)\ cups`

`Bars = 3\ pans`

Required

Determine the equation for h pans and g cups

We have that:

`Sugar = g`

`Bars = h`

To do this, we make use of the following equivalent ratios.

`Bars : Sugar = Bars : Sugar`

So, we have:

`3 : 2(1)/(2) = h : g`

Express fraction as decimal

`3 : 2.5 = h : g`

Express as fraction

`(3)/(2.5) = (h)/(g)`

Cross multiply

`2.5h = 3g`

No options were given. So, I will stop here