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Sagot :
Answer:
26 times
Step-by-step explanation:
Given
Without Coupon
[tex]Rate = 1.75[/tex] per trip
With Coupon
[tex]Coupon = 26[/tex]
[tex]Rate = 0.75[/tex] per trip
Required
The number of trips to be taken for both option (i.e. with or without coupon) to be equal
See comment for complete question
Let the number of trips in a month be x.
Without Coupon
Total amount is:
[tex]Total = Rate * x[/tex]
[tex]Total = 1.75x[/tex]
Without Coupon
Total amount is:
[tex]Total = Coupon + Rate * x[/tex]
[tex]Total = 26 + 0.75x[/tex]
To get x, we simply equate both options
[tex]1.75x = 26 + 0.75x[/tex]
Collect like terms
[tex]-0.75x + 1.75x = 26[/tex]
[tex]x = 26[/tex]
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