The cost

The cost of the amusement ticket is 250 pesos for children and 500 pesos for adults. On a certain day, attendance at the park is 2 000, and the total gets revenue is 750000 pesos. How many children and how many adults bought the tickets?

Correct answer:

a =  1000
c =  1000

Step-by-step explanation:


250c+500a = 750000
c+a = 2000

250·c+500·a = 750000
c+a = 2000

500a+250c = 750000
a+c = 2000

Row 2 - 1/500 · Row 1 → Row 2
500a+250c = 750000
0.5c = 500


c = 500/0.5 = 1000
a = 750000-250c/500 = 750000-250 · 1000/500 = 1000

a = 1000
c = 1000

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