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?

Respuesta :

Answer:

[tex]2.5h = 3g[/tex]

Step-by-step explanation:

Given

[tex]Sugar = 2\frac{1}{2}\ cups[/tex]

[tex]Bars = 3\ pans[/tex]

Required

Determine the equation for h pans and g cups

We have that:

[tex]Sugar = g[/tex]

[tex]Bars = h[/tex]

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

[tex]Bars : Sugar = Bars : Sugar[/tex]

So, we have:

[tex]3 : 2\frac{1}{2} = h : g[/tex]

Express fraction as decimal

[tex]3 : 2.5 = h : g[/tex]

Express as fraction

[tex]\frac{3}{2.5} = \frac{h}{g}[/tex]

Cross multiply

[tex]2.5h = 3g[/tex]

No options were given. So, I will stop here