Question

Isaiah had $40. He got a $10 credit on a video game that he brought back to re-sell, then rented other video games for $35. Isaiah then went to the "Bahama Bucks" shaved ice and purchased two Blue island waves for $7.50 each. Isaiah spent all of his money.

Which equation best represents this situation?

Responses

Answer 1

Let's break down Isaiah's financial situation step by step and then formulate an equation based on his transactions.

1. **Initial amount of money**: Isaiah starts with $40.

2. **Credit from re-selling a video game**: He gets a $10 credit. We can treat this as adding to his total money, so now he has:
\[
40 + 10 = 50 \text{ dollars}
\]

3. **Cost of renting other video games**: He spends $35 on renting other video games. His total money now becomes:
\[
50 - 35 = 15 \text{ dollars}
\]

4. **Purchasing Blue Island Waves**: He then buys 2 Blue Island Waves for $7.50 each. The total cost for this purchase is:
\[
2 \times 7.50 = 15 \text{ dollars}
\]

5. **Final spending**: He spends all of his remaining $15.

Now we can express this situation as an equation. His initial money plus the credit, minus the rental cost, should equal the cost of the two shaved ice treats:

\[
(40 + 10) - 35 = 2 \times 7.50
\]

This simplifies to:

\[
50 - 35 = 15
\]

So the equation that best represents the situation is:

\[
40 + 10 - 35 = 2(7.50)
\]

This ensures that all transactions are accounted for and clarifies how Isaiah spends all his money.