At a museum, adult admission is $ 13.00 and children admission is $ 7.50. During one day, a total of 1900 adult and children admissions were collected, and $ 21 comma 950 in admission fees was collected. How many adult admissions were collected?
Accepted Solution
A:
Answer:1400 adult admissions.Step-by-step explanation:At a museum, adult admission is $13.00Children admission is $7.50During one day, a total of 1900 adult and children admissions were collectedAnd $21,950 in admission fees was collected.Let adult admissions during that day be x,And children admissions be yThe simultaneous equation formed is;x + y = 1900 ... (i)$13x + $7.50y = $21,950 ... (ii)Multiplying (i) by 13 and (ii) by 1 we get;13x + 13y = 24,700 ... (i)13x + 7.50y = 21,950 ... (ii)(i) - (ii) we get;5.5y = 2750
y = 500So there were 500 children admissions and 1900 - 500 = 1400 adult admissions.