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There were 429 people at the play. Admission was 50 pesos each for adults and 35 pesos each for children. The receipts were 17265 pesos. How many adults and how many children attended?

Correct answer:

a =  150
c =  279

Step-by-step explanation:


a+c=429
50a + 35c = 17265

a+c=429
50·a + 35·c = 17265

a+c = 429
50a+35c = 17265

Pivot: Row 1 ↔ Row 2
50a+35c = 17265
a+c = 429

Row 2 - 1/50 · Row 1 → Row 2
50a+35c = 17265
0.3c = 83.7


c = 83.7/0.3 = 279
a = 17265-35c/50 = 17265-35 · 279/50 = 150

a = 150
c = 279

Our linear equations calculator calculates it.



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