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the difference between the prices of a first-class ticket and a coach ticket for an airplane is $135 the cost of a first-class ticket is 175% of the cost of a coach ticket what is the cost of a coach ticket?​

User Heycam
by
8.2k points

2 Answers

2 votes

Answer:

$ 236.25

Step-by-step explanation:

Coach ticket prize = $135

if the coach ticket prize is one the first class ticket will be $175

then when it is $135 prize it ahould be = 135/100 ×175 = $236.25

User Chasey
by
8.3k points
5 votes

Answer: $180

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

Step-by-step explanation:

  • f = cost of a first class ticket
  • c = cost of a coach ticket

Costs are in dollars

The first class ticket is 175% of the coach ticket, meaning

f = 1.75c

where the 1.75 is the multiplier pertaining to 175%

Think of it like saying 1 + 0.75 = 100% + 75% = 175%

In other words, the first class ticket is 100% of the coach ticket plus an extra 75% on top of that.

The difference in the two tickets is $135, allowing us to write

f - c = 135

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

Let's plug in f = 1.75c and solve for c.

f - c = 135

1.75c - c = 135

0.75c = 135

c = 135/(0.75)

c = 180

The coach ticket is $180

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

We could stop here once we figure out the coach ticket cost.

If you want to, let's find the first class ticket cost

f = 1.75*c

f = 1.75*180

f = 315

Then notice how f - c = 315-180 = 135 to show the difference in prices is $135. The answer is confirmed.

User Bengro
by
8.7k points
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