Regal theater sold 321 adult tickets and 227 children tickets.
Step-by-step explanation:
Given,
Cost of each adult ticket = $6.50
Cost of each child's ticket = $3.50
Total tickets sold = 548
Total worth of sold tickets = $2881
Let,
x represent the number of adult tickets sold
y represent the number of child tickets sold
According to given statement;
x+y=548 Eqn 1
6.50x+3.50y=2881 Eqn 2
Multiplying Eqn 1 by 6.50

Subtracting Eqn 2 from Eqn 3

Dividing both sides by 3

Putting y=227 in Eqn 1

Regal theater sold 321 adult tickets and 227 children tickets.
Keywords: linear equation, elimination method
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To compare 3/5 and 5/6th we need to convert them to a common denominator so if we multiply their denominators we get 5x6 = 30 but we must multlply the numerator by the same number so 3/5 = 18/30th and 5/6 = 25/30 so we see that 25/30 is greater than 18/30th or then 5/6 is greater than 3/5.
Answer:
30 mph
Step-by-step explanation:
Let the morning speed be represented by s.
Then the total distance drivern is 310 mi and this is equal to
5s + 4(s + 10):
5s + 4s + 40 = 310, or
9s = 270
Solving for s, we get s = 270/9 = 30
Then s + 10 = 40
He drove 30 mph in the morning and 40 mph in the afternoon.
Check: (30 mph)(5 hrs) + (40 mph)(4 hrs) = 310 miles. CORRECT