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

Rationale

The amount of yogurt in the dessert is 6 oz.

In a ratio of 4:3, for every 3 parts of toppings, there are 4 parts of yogurt. If 3 parts are equivalent to 4.5 oz, then 1 part is equivalent to 1.5 oz. Therefore, 4 parts (which represent the yogurt) would be equivalent to 6 oz.

A (6 oz) CORRECT

This is the correct answer. If 3 parts are equivalent to 4.5 oz, then 1 part is equivalent to 1.5 oz. Therefore, 4 parts, which represent the yogurt, would be equivalent to 6 oz.

B (5.5 oz) YOUR ANSWER

This choice is incorrect. Using the ratio 4:3 and the provided information that 3 parts (toppings) equals 4.5 oz, each part is calculated to be 1.5 oz. Therefore, 4 parts (yogurt) would equal 6 oz, not 5.5 oz.

C (3 oz) YOUR ANSWER

This choice is incorrect. Even though the amount of toppings is 3 parts in the ratio, it is given as 4.5 oz in the question. So the 3 parts in the ratio do not correspond to 3 oz of toppings.

D (3.5 oz) YOUR ANSWER

This choice is incorrect. This seems to be a random number, as it does not fit into the ratio provided. The ratio 4:3 indicates that for every 3 parts of toppings, there are 4 parts of yogurt. Given that 3 parts correspond to 4.5 oz, 4 parts would be 6 oz, not 3.5 oz.

Conclusion

The ratio of yogurt to toppings is 4:3. Given that 3 parts are equivalent to 4.5 oz, each part is calculated to be 1.5 oz. Therefore, 4 parts, which represent the yogurt, would be equivalent to 6 oz. All other options do not correctly apply the ratio.

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

The amount of yogurt in the dessert is 6 oz.

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