Maths-
General
Easy
Question
Tony spends $ 80 per month on public transportation. A 10- ride pass costs $ 12.50, and a single-ride pass costs $ 1.50. If g represents the number of 10-ride passes Tony buys in a month and t represents the number of single- ride passes Tony buys in a month, which of the following equations best represents the relationship between g and t?
- g + t = 80
- g + t = 1.50 + 12.50
- 1.50 g + 12.50 t = 80
- 12.50 g + 1.50 t = 80
The correct answer is: 12.50 g + 1.50 t = 80
Hint:
Total Amount spent = Amount spent on 10-ride pass + Amount spent on single-ride pass
Amount spent on a particular type of pass = Number of passes × Cost of 1 such pass
Step-by-step solution:-
g = Number of 10- ride passes bought in a month by Tony
t = Number of single-ride passes bought in a month by Tony
Total Amount spent in a month = $ 80
Amount spent on 10-ride passes = No. of passes × cost of 1 pass
= g × 12.50
= $ 12.50g ---------- (Eq I)
Amount spent on single-ride passes = No. of passes * cost of 1 pass
= t × 1.50
= $ 1.50t ----------- (Eq II)
Total Amount spent in a month = Amount spent on 10-ride passes + Amount spent on single ride passes
= 12.50g + 1.50t ----------- (From equations i & ii) ------------(Eq III)
∴ 12.50g + 1.50t = $ 80 ----------- (From given information & Equation III)
Final Answer:-
Option D i.e. 12.50 g + 1.50 t = 80 is the correct Option.
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