Answer: $180
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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
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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
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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.