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?

Question

Mathematics

Gerald

23 October, 01:55

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?

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Answers (1)

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Missy · Answer 1

1400 adult admissions.

Step-by-step explanation:

At a museum, adult admission is $13.00

Children admission is $7.50

During one day, a total of 1900 adult and children admissions were collected

And $21,950 in admission fees was collected.

Let adult admissions during that day be x,

And children admissions be y

The 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 = 500

So there were 500 children admissions and 1900 - 500 = 1400 adult admissions.