During lunch, students like to trade their food. The following exchange rates are used in the cafeteria: 3 candy bars can be traded for 2 pieces of pizza, and 1 piece of pizza can be traded for 4 lollipops. Using this exchange rate, how many lollipops would you accept for one candy bar? Explain your reasoning for this exchange

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Answer:

I will accept 3 lollipops for 1 candy bar.

Step-by-step explanation:

3 candy bars can be traded for 2 pieces of pizza, and 1 piece of pizza can be traded for 4 lollipops.

Given that

3 candy bars = 2 pieces of pizza, that is

1 piece of pizza = 1.5 candy bar

Also given

1 piece of pizza = 4 lollipops

1.5 candy bar = 4 lollipops

[tex]\texttt{1 candy bar = }\frac{4}{1.5}\texttt{lollipops}[/tex]

1 candy bar = 2.67 lollipops ≅ 3 lollipops

So I will accept 3 lollipops for 1 candy bar.