SOLUTION: there were 324 people attending a show it was $7 for an adult $2.50 for a child the total was $1503
How many adults and how many children attended the show?
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-> SOLUTION: there were 324 people attending a show it was $7 for an adult $2.50 for a child the total was $1503
How many adults and how many children attended the show?
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Question 736930: there were 324 people attending a show it was $7 for an adult $2.50 for a child the total was $1503
How many adults and how many children attended the show? Found 3 solutions by lynnlo, ikleyn, greenestamps:Answer by lynnlo(4176) (Show Source):
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there were 324 people attending a show it was $7 for an adult $2.50 for a child the total was $1503
How many adults and how many children attended the show?
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x adults and 324-x children.
Write the total money equation
7x + 2.50(324-x) = 1503 dollars.
Simplify and find x
7x + 2.50*324 - 2.50x = 1503
7x - 2.50x = 1503 - 2.50*324
4.5x = 693
x = 693/4.5 = 154.
ANSWER. 154 adults and 324-154 = 170 children.
This problem can also be solved mentally using logic and mental arithmetic, although the mental calculations needed are not simple.
If all 324 people were children, the ticket sales total would be 324($2.50) = 81($10) = $810. (Notice the mental trick there of performing the required multiplication by dividing the 324 by 4 and multiplying the $2.50 by 4; then multiplying by 10 is easier than multiplying by 2.5.)
That total of $810 is $1503-$810 = $693 short of the actual total.
The difference in cost between an adult ticket and a child ticket is $7-$2.50 = $4.50. The number of adults is then ($693)/($4.50) = ($1386)/($9) = 154. (Notice again the trick of making the division easier by doubling both numbers, since dividing by 9 is easier than dividing by 4.5).
So the number of adults is 154 and the number of children is 324-154 = 170.
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