Question

Person 1 and Person 2 visited Washington D.C. for the weekend. Person 1 rode the metro train one stop, 5 times at the peak fare price and 3 times at the off peak fare price for a total cost of $21.00. Person 2 rode with Person 1, 4 times at the peak fare price and 2 times at the off peak fair price for a total cost of $16.00. How much was the peak fare price

Answer 1

The peak fare price is $3

Explanation:

Let x represents the peak fare price and y represents the off peak fare price

We are given that Person 1 rode the metro train one stop, 5 times at the peak fare price and 3 times at the off peak fare price for a total cost of $21.00.

So, 5x+3y=21 ---1

We are also given that Person 2 rode with Person 1, 4 times at the peak fare price and 2 times at the off peak fair price for a total cost of $16.00

So, 4x+2y=16 ---2

Substitute the value of x from 1 in 2

4x+2y=16

`4((21-3y)/(5))+2y=16`

y=2

Substitute the value of y in 1

5x+3y=21

5x+3(2)=21

`x=(21-6)/(5)`

x=3

Hence The peak fare price is $3