A certain amusement park sells half-day passes and all-day passes. The amusement park charges $40 for a half-day pass and $80 for an all-day pass. The amusement park sold a total of 70 passes one day for $4,600. How many all-day passes did the amusement park sell?

Question

Mathematics

Lang

23 November, 23:12

A certain amusement park sells half-day passes and all-day passes. The amusement park charges $40 for a half-day pass and $80 for an all-day pass. The amusement park sold a total of 70 passes one day for $4,600. How many all-day passes did the amusement park sell?

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Simon · Answer 1

45 all-day passes

Step-by-step explanation:

Let x be the number of half-day passes. Let y be the number of all-day passes.

x+y=70

40x+80y=4600

40 (70-y) + 80y=4600

y = 45 all-day passes