Answer: number of tickets sold to adult = 566
Step-by-step explanation:
Let x = number of tickets sold by DCHS to students.
Let y = number of tickets sold DCHS to adults.
Tickets to Dundee crowns mr.dchs are $3 for students and $5 for adults.
This means cost of total tickets sold to students and adults is $3x and $5y respectively.
If DCHS collected $3943 for the tickets, then we have
3x + 5y = 3943 - - - - - -1
The number of adult tickets sold was 195 more than the number of student tickets. This means
y = x +195.
Put y = x +195 in equation 1
3x + 5(x+195) = 3943
3x + 5x + 975= 3943
8x +975=3943
8x = 3943-975= 2968
x = 2968/8 = 371
y = 371 + 195= 566
Answer:
Step-by-step explanation:
Distance between earth and moon in meters = 386400 x 10³ m
Speed of ship = 11184.7258 m / s
Time taken = distance of moon from earth / speed of ship
= 386400 x 10³ / 11184.7258
= 34.5471 x 10³ s
= 34.5471 x 10³ / 60 x 60 hour
= 9.596 hours
Answer: 2.10
Step-by-step explanation: 2.10 * 4 + 6
You have two unknown rates, so we need to develop two equations to solve for these unknowns (based on the information given on the problem statement):
5x + 10y = 725
x + y = 100
By substitution, we get:
5x + 10(100 - x) = 725
5x + 1000 - 10x = 725
-5x = 725 - 1000
-5x = -275
x = -275/-5 = 55
100 - 55 = 45
Thus:
The mechanic who worked for 5 hours charged his time at $55/hr, and the mechanic who worked for 10 hours charged his time at $45/hr.
To verify, plug and chug the results back into the original equations:
5(55) + 10(45) = 725
275 + 450 = 725
725 = 725 [OK]
55 + 45 = 100 [OK]
