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------------------------------------------------ Two friends get frozen yogurt. The ratio of yogurt to toppings is 4:3. If one of the friends has 4.5 oz of toppings in their bowl, which of the following is the amount of yogurt in their dessert?

A) 6 oz
B) 3.5 oz
C) 5.5 oz
D) 3 oz

To solve this problem, we're dealing with a ratio of yogurt to toppings, which is given as 4:3. This means that for every 4 parts of yogurt, there are 3 parts of toppings.

The problem provides one piece of information: the amount of toppings, which is 4.5 oz. We can use the ratio to find the corresponding amount of yogurt.

Here's a step-by-step breakdown:

We know the ratio of yogurt to toppings is 4:3. This means that for every 4 parts of yogurt, there are 3 parts of toppings.
If the toppings are 4.5 oz, we can set up a proportion to find the amount of yogurt:
[tex]\frac{4}{3} = \frac{y}{4.5}[/tex]
Where [tex]y[/tex] is the amount of yogurt.
To solve for [tex]y[/tex], we cross multiply:
[tex]4 \times 4.5 = 3 \times y[/tex]
This simplifies to:
[tex]18 = 3y[/tex]
Divide both sides by 3 to isolate [tex]y[/tex]:
[tex]y = \frac{18}{3}[/tex]
Thus, [tex]y = 6[/tex].

Therefore, the amount of yogurt in the dessert is 6 oz.

The correct choice among the options is A) 6 oz.