# Question 21 & 22

Question 21: Two Rawalpindi -Islamabad bus tickets and three Rawalpindi – Murree tickets cost Rs 770, but three Rawalpindi – Islamabad tickets and two Rawalpindi – Murree tickets cost Rs 730. What are tariffs from Rawalpindi to cities of Islamabad and Murree ?

FPSC AD IB 2017 (Calculate the total amount of money to be paid)

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Solution:

Let fare ticket Rawalpindi – Islamabad = x

ticket Rawalpindi – Murree = y

Now we are given ;

Two bus tickets from Rawalpindi to Islamabad and three tickets from Rawalpindi to Murree cost Rs.770

and given that;

Three ticket from Rawalpindi to Islamabad and two tickets from Rawalpindi to Murree cost Rs. 730

Multiplying both sides of equations ‘1’ & ‘2’ with 2 and 3 respectively, then

we get ;

Subtracting these equations;

So fare from Rawalpindi to Murree is Rs 170

Now put this value of y in eq 1 or eq 2 (we put in eq 1);

So , fare from Rawalpindi to Islamabad is Rs 130

Question 22 : Children’s tickets are sold at half price verusus adults. Five adult tickets and eight childrens’s tickets worth Rs 27 are sold. Find what adult’s ticket price is ?

Solution:

Here it is given that two children are equale to one adult . If we take ‘C’ for children and ‘A’ for adults then we can make an equation;

Further 5 adults and 8 children are buying tickets worth 27 Rs. So we can write an other equation;

We can write it as under as well;

Now put value of 2C=A from eq (1) in eq (3);

So, ticket for adult is worth Rs 3/-

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Insert math as
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