turn " I think Miguel needs 4.5 gallons to make 36 milkshakes because if he needs 3 gallons for 24 milkshakes, he would need 1.5 more gallons to make an additional 12 milkshakes. " into an equation coming up with how you get the answer 4.5 gallons

5 answers

Let x represent the gallons needed to make 36 milkshakes.

So, the gallons needed to make 24 milkshakes is 3 gallons.

We can set up a proportion to find x:
3 gallons / 24 shakes = x gallons / 36 shakes

Cross multiply:
3 gallons * 36 shakes = 24 shakes * x gallons
108 = 24x

Solving for x:
x = 108 / 24
x = 4.5

Therefore, Miguel needs 4.5 gallons to make 36 milkshakes.
question, what does the / mean?
The "/" symbol in mathematics represents division.

So when we write "3 gallons / 24 shakes", we are expressing that 3 gallons of liquid is being divided among 24 shakes, which means each shake uses a fraction of a gallon.

Similarly, when we write "x gallons / 36 shakes", we are expressing that x gallons of liquid is being divided among 36 shakes, where x represents the total amount of liquid needed to make 36 shakes.
k, thx!
You're welcome! If you have any more questions or need further clarification, feel free to ask. I'm here to help!