Question

a group of families decided to go on vacation to disneyworld. the adult addmission price is $44.95 and the child addmission price is $34.95. if eleven people went on tht e trip, and the cost of addmission was $434.45.

Answer 1

5 Adults; 6 Children

Explanation:

If all the tickets purchased were child tickets, the cost would be 11×$35.95 = $384.45. The actual cost is $434.45 -384.45 = $50 more than that.

Changing a child's admission to an adult's admission adds $10 to the cost, so there must have been $50/$10 = 5 adult admissions in the mix. Of course, 11 - 5 = 6, the number of child admissions.

The families bought 5 adult tickets and 6 child tickets.

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Using an equation

Let x represent the number of adult admissions. Then 11-x is the number of child admissions, and the total cost is ...

... 44.95x + 34.95(11 -x) = 434.45

... 10x = 50 . . . . . . . . subtract 384.45 and simplify (compare to the above)

... 50/10 = x = 5 . . . . the number of adult admissions