SOLUTION: George purchased leeks,beet,carrot and radish for Rs.130/= and 500g of each vegetable.cost of leeks and beet are same, cost of carrot is Rs.10/= more than the cost of beet, cost of

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Question 1064186: George purchased leeks,beet,carrot and radish for Rs.130/= and 500g of each vegetable.cost of leeks and beet are same, cost of carrot is Rs.10/= more than the cost of beet, cost of radish is Rs.10/=less than the cost of carrot. what is the cost of 500g of leeks?

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) (Show Source):
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George purchased leeks,beet,carrot and radish for Rs.130 and 500g of each vegetable.cost of leeks and beet are same, cost of carrot is Rs.10 more than the cost of beet, cost of radish is Rs.10 .less than the cost of carrot. what is the cost of 500g of leeks?

c price of carrot per 500 gram b price of beet per 500 gram L price of leek per 500 gram

Account for the purchase cost:

Other parts of the description:

The description of the radishes played no part in the purchase described.

Solve the system and start with a simple substitution:

Try to arrange to have just one equation in just the one unknown, L.

Answer by MathTherapy(10552) (Show Source):
You can put this solution on YOUR website!

George purchased leeks,beet,carrot and radish for Rs.130/= and 500g of each vegetable.cost of leeks and beet are same, cost of carrot is Rs.10/= more than the cost of beet, cost of radish is Rs.10/=less than the cost of carrot. what is the cost of 500g of leeks?

Note that all vegetables' weights are the same: 500g
Let cost of 550g of leeks, beets, carrots, and radish, be L, B, C, and R, respectively
We then get: B = L ----- eq (i)
C = B + 10____C = L + 10 ------ eq (ii)
R = C - 10_____R = L + 10 - 10_____R = L ------- eq (iii)
With total cost being Rs 130, we have: B + L + C + R = 130 ------ eq (iv)
L + L + L + 10 + L = 130 ------ Substituting L for B, L + 10 for C, and L for R
4L + 10 = 130
4L = 120
L, or cost of 500g of leeks =