How many Butterfinger Crisp can be obtained by trading 50 Jelly Belly Caramel Corn?

 

To determine how many Butterfinger Crisp can be obtained by trading 50 Jelly Belly Caramel Corn, we will proceed through the exchange process step by step, following the provided exchange rates.

Step 1: Trade Jelly Belly Caramel Corn for Gummi Banana Strawberry Rings

Given:

– Exchange Rate: 24 Jelly Belly Caramel Corn (JBC) can be traded for 9 Gummi Banana Strawberry Rings (GBSR).

First, we need to find out how many GBSR we can get for 50 JBC.

[
\text{Trade Ratio} = \frac{9 \text{ GBSR}}{24 \text{ JBC}} = \frac{3 \text{ GBSR}}{8 \text{ JBC}}
]

Now, we will calculate how many GBSR can be obtained from 50 JBC:

[
\text{GBSR obtained} = 50 \text{ JBC} \times \frac{3 \text{ GBSR}}{8 \text{ JBC}} = 50 \times \frac{3}{8} = 18.75 \text{ GBSR}
]

Step 2: Trade Gummi Banana Strawberry Rings for M&M Peanut Butter

Given:

– Exchange Rate: 8 Gummi Banana Strawberry Rings can be traded for 2 M&M Peanut Butter (M&M PB).

Now, we will calculate how many M&M PB can be obtained from the 18.75 GBSR.

[
\text{Trade Ratio} = \frac{2 \text{ M&M PB}}{8 \text{ GBSR}} = \frac{1 \text{ M&M PB}}{4 \text{ GBSR}}
]

Now, we will calculate how many M&M PB can be obtained from 18.75 GBSR:

[
\text{M&M PB obtained} = 18.75 \text{ GBSR} \times \frac{1 \text{ M&M PB}}{4 \text{ GBSR}} = 18.75 \times \frac{1}{4} = 4.6875 \text{ M&M PB}
]

Step 3: Trade M&M Peanut Butter for Butterfinger Crisp

Given:

– Exchange Rate: 9 Butterfinger Crisp can be traded for 10 M&M Peanut Butter.

Now, we will calculate how many Butterfinger Crisp can be obtained from the 4.6875 M&M PB.

[
\text{Trade Ratio} = \frac{9 \text{ Butterfinger Crisp}}{10 \text{ M&M PB}}
]

Now, we will calculate how many Butterfinger Crisp can be obtained from 4.6875 M&M PB:

[
\text{Butterfinger Crisp obtained} = 4.6875 \text{ M&M PB} \times \frac{9 \text{ Butterfinger Crisp}}{10 \text{ M&M PB}} = 4.6875 \times 0.9 = 4.21875 \text{ Butterfinger Crisp}
]

Final Answer in Scientific Notation

To express ( 4.21875 ) in scientific notation with three significant figures:

[
4.21875 = 4.22 \times 10^0
]

Thus, the final answer is:

[
\boxed{4.22 \times 10^0}