Write two numbers that multiply to the value on top and add to the value on bottom.
1 answer:
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Answer:
The number of adults tickets is 80 and the number of students tickets is 30
Step-by-step explanation:
Given as :
The tickets price for adults = $6.00
The tickets price for students = $4.50
Total number tickets were sold = 110
Total Price of 110 tickets = $615.00
Now,
Let The number of adults tickets sold = A
The number of students tickets sold = S
So, according to question
A + S = 110
And 6 A + 4.5 S = 615
Or, 6 A + 6 S = 660 .....1
6 A + 4.5 S = 615 ......2
Solving the equations
( 6 A + 6 S ) - ( 6 A + 4.5 S ) = 660 - 615
Or, ( 6 A - 6 A ) ( 6 S - 4.5 S ) = 45
or, ( 6 S - 4.5 S ) = 45
or, 1.5 S = 45
∴ S =
I,e S = 30
Put the value of S in eq 1
So, 6 A + 6 × 30 = 660
Or, 6 A = 660 - 180
Or 6 A = 480
∴ A =
I.e A = 80
Hence The number of adults tickets is 80 and the number of students tickets is 30 . Answer