A theater wants to take in at least $2000 for a certain matinee. Children's tickets cost $5 each and adult tickets cost $10 each. The theater has a maximum of 350 seats.

The correct answer is x + 2y 400 and also y and x .

Step-by-step explanation:

Amount a theater wants for a certain matinee = $2000

Cost of Children's ticket is $5 and for adult is $10.

Let there are x children and y adults in the theater. Total capacity of the theater is maximum 350. Thus x + y 350.

Thus the above situation can be demonstrated as:

5x + 10y 2000

⇒ x + 2y 400 and also y and x .

Thus the set of solutions can be given by the above three inequalities. One such possibility could be 300 students and 50 adults for the matinee.

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step-by-step explanation:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.