Question 1203460
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x = number of adults
429-x = number of children
1.50x = revenue from adults
0.75(429-x) = revenue from children
1.50x+0.75(429-x) = total revenue = 371.25



1.50x + 0.75(429-x) = 371.25
1.50x + 321.75 - 0.75x = 371.25
0.75x + 321.75 = 371.25
0.75x = 371.25 - 321.75
0.75x = 49.5
x = 49.5/0.75
x = 66 adults
429 - x = 429 - 66 = 363 children


Check:
66 adults + 363 children = 429 people total
66*1.50 + 363*0.75 = 371.25 dollars total
Both conditions are confirmed.


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<font color=red>Answers:</font>
66 adults and 363 children
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