Answer:
The answer to this question is C: (72,24).
Step-by-step explanation:
According to the information provided:
The price of one cap is $5
The price of one t-shirt is $10
Let x represent the number of caps sold
Let y represent the number of t-shirts sold
The drama club aims to raise at least $500 for their trip.
Hence, we can establish the inequality as follows:
The number of caps sold x (times) price of one cap + number of t-shirts y (times) price of one t-shirt ≥ (greater than or equal to) 500
Inequality: 5x + 10y ≥ 500 (The greater than or equal to symbol indicates the drama club needs at least $500 for the journey.Next, we need to ascertain the number of caps and t-shirts sold.
- We can eliminate
two
of the options which are
the two answers containing negatives
because we understand that multiplying a positive by a negative yields a negative, which is unacceptable. (Thus, Options A and D are not valid.)Now we will substitute x and y into our inequality equation (5x + 10y ≥ 500)B) x = 65 caps, y = 17.5 t-shirts ------> 5(65) + 10(17.5) = 500 results in $500
YOU MAY THINK THIS IS THE ANSWER, BUT! if you look closely at variable y, it indicates they sold 17.5 t-shirts; however, consider how can you sell 17.5 t-shirts?
Thus, this option is also invalid!
C) x = 72 caps, y = 24 t-shirts ------> 5(72) + 10(24)=
$600
which exceeds the required $500 that they needed. Therefore, the correct choice for this question is C, indicating they sold 72 caps and 24 t-shirts, accumulating $600.
