Question

Write a ratio for each sentence then compare the ratios. If they are equal, write is FAIR and if they are not equal, write UNFAIR. Explain your answer.

1. Mary paid Php18400 for 2 tickets to a concert and Kimmy paid Php26600 for 3 tickets to the same concert. Is this fair?

Answer 1

After calculating the cost per ticket for Mary and Kimmy's purchase for the concert tickets, it is evident that Mary paid more per ticket than Kimmy (9200:1 compared to 8866.67:1). Hence, the situation is determined to be UNFAIR.

Step-by-step explanation:

To determine if the situation is fair for Mary and Kimmy in purchasing concert tickets, we first write the ratios of the cost per ticket for each. Mary paid Php18400 for 2 tickets, so her ratio is 18400:2, which simplifies to 9200:1. Kimmy paid Php26600 for 3 tickets, hence her ratio is 26600:3, which simplifies to 8866.67:1. Now we compare the two ratios to see if they have equal values.

If the ratios were equal, it would indicate a fair scenario where both parties are paying the same price per ticket. However, since the ratios are not equal (9200:1 is not equal to 8866.67:1), the cost per ticket is not the same for Mary and Kimmy, indicating an UNFAIR situation. Mary is paying a higher price per ticket than Kimmy.

The comparison shows that fairness is not present in this scenario as the cost per ticket is not consistent between the two purchases. To achieve fairness, both individuals would have needed to pay the same amount per ticket, which is not the case here.