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30. The price of 6 apples and 3 oranges is the same as that of 4 apples and 8 oranges. Find the ratio between the priceof an apple and an orange |
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Answer» Write a system of equations and use either GRAPHING, substitution or linear combination to find the solution.let x = the price of one applelet y = the price of one orange4x + 6y = 687x + 9y = 107 To eliminate y, multiply the 1st equation by -3 and the second by +2-12x - 18y = -20414x + 18y = 214 Add the two equations together2x = 10 Divide both sides by 2x = 5If x = 5 then 4(5) + 6y = 68, so 20 + 6y = 68 subtract 20 from both sides6y = 48 Divide both sides by 6y = 8Now check4(5) + 6(8) = 20 + 48 = 68 check7(5) + 9(8) = 35 + 72 = 107 check1 apple will cost 5 Rs.1 orange will cost 8Rs. |
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