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padilas [110]
2 years ago
10

PLEASE HELP IMMEDIATELY, I NEED A RESPONSE TONIGHT!!!

Mathematics
1 answer:
Natasha2012 [34]2 years ago
3 0

Answer:

Step-by-step explanation:

The key fact is what are the trains doing: are they travelling toward one another or away from each other

Away from each other.

Train A has gone 50 km in 1 hour

Train B has gone 65 km in 1 hour.

They started off being 200 km apart

So their distance now is 50 + 65 + 200 = 315

Towards each other

This time they are eating into the 200 km

So you subtract

200 - 65 - 50 = 200 - 115 = 85 km.

Both trains are travelling in the same direct -- in B's direction

B - 65 + 50

200 - 15

185 km

Both trains are travelling in As direction

A - 50 + 65

200 + 15 = 215

The tricky part of this is which train is going in what direction?

As you can see, You have covered A C and D

The only one can't get is 115 (of course 315 didn't show up either).

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Answer:

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REINFORCE Tickets to the zoo cost $18 for adults and $8.25 for children. One day, the zoo sold 2,300 tickets and collected $30,1
jenyasd209 [6]

Given:

The cost of adults ticket = $18

The cost of children's ticket = $8.25

Total tickets = 2300

Total revenue = $30,168.

To find:

The number of children and number of adults attended the zoo that day.

Solution:

Let x be the number of children and y be the number of adults.

Equation for tickets: x+y=2300                  ...(i)

Equation for revenue: 18x+8.25y=30168        ...(ii)

Plot the graphs of the given equations on a coordinate plane as shown below.

From the graph it is clear that the graph of both equations intersect each other at (1148,1152).

It means the number of adults is 1148 and the number of children is 1152.

It can be solved algebraically as shown below:

Substitute the value of y in (ii) from (i).

18x+8.25(2300-x)=30168

18x+18975-8.25x=30168

9.75x=30168-18975

9.75x=11193

Divide both sides by 9.75.

x=\dfrac{11193}{9.75}

x=1148

Putting x=1148 in (i),  we get

1148+y=2300

y=2300-1148

y=1152

Therefore, the number of adults is 1148 and the number of children is 1152.

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