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Please I need an answer ASAP!

The marching band is holding a fundraiser. The band is selling t-shirts for $22 and yearbooks for $23. The goal is to sell at least $2,400 in merchandise. Which of the following is a solution to this scenario?

50 t-shirts and 56 yearbooks
51 t-shirts and 55 yearbooks
52 t-shirts and 54 yearbooks
53 t-shirts and 55 yearbooks

1 Answer

6 votes

Answer:

(d) 53 t-shirts, 55 yearbooks

Explanation:

Given that a marching band wants to raise at least $2400 by selling $22 t-shirts and $23 yearbooks, you want to know a suitable solution.

Possibilities

The answer choices seem to have a pattern for the first few: The number of t-shirts increases by 1 and the number of yearbooks decreases by 1. The net change in revenue from one choice to the next is +22 -23 = -1 dollar.

We notice that the last choice has 2 more t-shirts than the 2nd choice, so will give 2·22 = $44 more revenue. This makes the last choice be the one that generates the most revenue. If there is only one solution to the scenario, this one must be it.

A solution is 53 t-shirts and 55 yearbooks, option D.

Revenue

The attached calculator display shows the revenue generated by each of the choices. The number of t-shirts is multiplied by 22, and the number of yearbooks is multiplied by 23. The sum of these revenue streams is the total revenue generated. Only 53 t-shirts and 55 yearbooks results in a revenue (2431) greater than 2400.

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Additional comment

We have demonstrated that simply looking at the possible answer choices and understanding what they mean in the context of the question is often sufficient to reveal the correct one. Only a little math is required for this purpose. We don't actually need to check every answer in detail. This strategy can be viable for many multiple-choice questions.

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Please I need an answer ASAP! The marching band is holding a fundraiser. The band-example-1
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