Question

A man sells 7 horses and 8 cows at Rs.29400and 5 horses and 6cows at Rs.21500. What is the selling price of each

Answer 1

Step-by-step explanation:x

7h + 8c = 29400

multiply with 5 on both sides

35h + 40c = 147000 --------- 1

5h + 6c = 21500 ---------- 2

multiply with 7 on both sides

35h + 42c = 1,50500 ---------3

subtract 3 and 1

35h + 42c = 150500

35h + 40c = 147000

(-)

----------------------------

0 + 2c = 3500

c = 3500 ÷ 2

c = 1750 Rs

substitute c value in equation 2

5h + 6×1750 = 21500

5h + 10500 = 21500

5h = 21500 - 10500

5h = 11000

h = 2200 Rs

1horse = 2200 Rs

1cow = 1750 Rs

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