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just olya [345]
3 years ago
10

Dan likes to go to the movies. He has budgeted $50 next month for the movie theater. It costs him $8.50 for a ticket each time h

e goes. What is the maximum number of times he can go to the movies next month?
Mathematics
1 answer:
solmaris [256]3 years ago
5 0
The Max amount of times he can go is 5 times
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prohojiy [21]

Answers:

  • slower train = 139 km per hour
  • faster train = 159 km per hour

=================================================

Explanation:

x = rate of the slower train

x+20 = rate of the faster train

rates are in km per hour, abbreviated as kph

The train traveling at x kph will travel 5x km after 5 hours.

Use this formula

distance = rate*time

Using that same formula, the faster train travels 5(x+20) = 5x+100 kilometers in 5 hours.

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--------------------------

So,

(slower train distance) + (faster train distance) = 1490

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10x+100 = 1490

10x = 1490-100

10x = 1390

x = 1390/10

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The slower train moves at a rate of 139 km per hour.

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The faster train moves at a speed of 159 km per hour.

--------------------------

Check:

The slower train travels 139 kph and travels for 5 hours, so it covers a distance of 139*5 = 695 km

The faster train has a speed of 159 kph and travels for 5 hours, so it covers 159*5 = 795 km

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The answers are confirmed.

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