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1 answer:
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Answer:
The number of adult tickets are 33 and the number of student tickets are 21 .
Step-by-step explanation:
As
The number of adult tickets x and the number of student tickets y.
As given
A carnival sold tickets for $1.50 for adults and $1.00 for students.
There were 54 tickets sold for a total of $70.50.
Equations becomes
x + y = 54
1.50x + 1.00y = 54 × 70.50
Simplify the above
150x + 100y =7050
Two equations are
x + y = 54
150x + 100y =7050
Multiply x + y = 54 by 150 from 150x + 100y =7050
150x - 150x + 100y - 150y = 7050 - 8100
-50y = -1050
50y = 1050
y = 21
Putting the value of y in the equation .
x + 21 = 54
x = 54 - 21
x = 33
Therefore the number of adult tickets are 33 and the number of student tickets are 21 .
Answer:
The three consecutive integers are 12, 13, 14.
Step-by-step explanation:
Encode the question in an equation. We are given two facts: (1) the three integers are consecutive, and (2) they relate to each other through a sum.
Pick any of the integers (first, second, or third) and call it n. Then write the two others correspondingly in terms of n. I pick the middle one as n, so the three consecutive integers are (n-1), n, (n+1). That's (1). As for (2), here is the fact:
Lo and behold, one equation with one unknown! Easy to solve for n to give us the middle integer, n:
The three consecutive integers are 12, 13, 14.