SOLUTION: at a supermarket 3 oranges and 5 apples cos £2.05. at a corner store where oranges are the same but apples are 50% more expensive, 3 oranges and 5 apples cost £2.55 Find the pri

Algebra ->  Expressions-with-variables -> SOLUTION: at a supermarket 3 oranges and 5 apples cos £2.05. at a corner store where oranges are the same but apples are 50% more expensive, 3 oranges and 5 apples cost £2.55 Find the pri      Log On


   

Question 1145333: at a supermarket 3 oranges and 5 apples cos £2.05. at a corner store where oranges are the same but apples are 50% more expensive, 3 oranges and 5 apples cost £2.55
Find the price of an orange and the price of an apple in the supermarket.
Answer by ikleyn(52903) About Me  (Show Source):
You can put this solution on YOUR website!
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Let R and A be the prices for one oRange and one Apple at the supermarket, respectively.

Then from the condition you have this system of equations


    3R +       5A = 2.05      (1)

    3R + 5*(1.5A) = 2.55      (2)


Simplify it


    3R +       5A   = 2.05    (1)

    3R +       7.5A = 2.55    (2)


To solve this system, apply the Elimination method. 

For it, subtract equation (1') from (2').  You will get


               2.5A = 0.50

                  A = 0.50%2F2.5 = 0.2.


Then from (1),  3R + 5*0.2 = 2.05,  3R = 2.05 - 1 = 1.05,  R = 1.05/3 = 0.35.

Solved.