Problema Solution

The class president is organizing a class trip to a nearby park for 314 students. The regular price is $35 per ticket. However, some students can receive a discount due to volunteer community service work that they took part in on Saturdays. The students who are eligible for the discount will pay $21.50 the total ticket cost of the class trip will be $10,072 how many students are eligible for the discount?

Answer provided by our tutors

let


x = the number of regular price tickets


y = the number of discounted price tickets


x + y = 314


35x + 21.50y = 10072


by solving the above system of equtions we find:


x = 246 tickets


y = 68 tickets


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68 students are eligible for the discount.