The total cost of a bus ride and a ferry ride is $8.00. in one month, bus fare will increase by 10% and ferry fare will increase by 25%. the total cost will then be 9.25. how much is the current bus fare?

Question

Mathematics

Manuel Brock

2 June, 06:57

The total cost of a bus ride and a ferry ride is $8.00. in one month, bus fare will increase by 10% and ferry fare will increase by 25%. the total cost will then be 9.25. how much is the current bus fare?

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Answers (1)

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Amir Heath · Answer 1

The bus fare is x, and the ferry fare is y.

x + y = 8

The bus fare will increase by 10% and the ferry fare will increase by 25%.

1.1x + 1.25y = 9.25

Multiply the first equation by - 1.1:

-1.1x - 1.1y = - 8.8

Add this to the original second equation.

0.15y = 0.45

y = 3

x + y = 8

x + 3 = 8

x = 5

The bus fare is $5, and ferry fare is $3.