The cost of 3 apples, 5 bananas and 3 oranges is Rs. 85, while 5 oranges, 4 apples and 4 bananas is Rs. 87. What is the cost of 5 apple, 7 oranges and 3 bananas?

<p><span lang="EN-IN">Let the price of 1 apple, 1 banana and 1 orange is a, b and c respectively.</span></p><p><span lang="EN-IN">3a + 5b + 3c = 85&nbsp;&nbsp;&nbsp;&nbsp; equation 1 </span></p><p><span lang="EN-IN">4a + 4b + 5c = 87&nbsp;&nbsp;&nbsp;&nbsp; equation 2 </span></p><p><span lang="EN-IN">5a + 3b + 7c =? </span></p><p><span lang="EN-IN">Multiply equation 1 and 2 by m and n respectively and adding will given the required equation </span></p><p><span lang="EN-IN">3m+5n = 7&nbsp;&nbsp;&nbsp;&nbsp; equation 3 </span></p><p><span lang="EN-IN">5m+4n = 3&nbsp;&nbsp;&nbsp;&nbsp; equation 4 </span></p><p><span lang="EN-IN">3m+4n = 5&nbsp;&nbsp;&nbsp;&nbsp; equation 5 </span></p><p><span lang="EN-IN">Equation 4 – equation 5</span></p><p><span lang="EN-IN">2m= –2</span></p><p><span lang="EN-IN">m= –1 and n = 2</span></p><p><span lang="EN-IN">Substituting these values in equation 3 which also satisfy</span></p><p><span lang="EN-IN">Equation 1 * (–1) + equation 2 *2</span></p><p><span lang="EN-IN">= 5a + 3b + 7c</span></p><p><span lang="EN-IN">= 85 (–1) + 87 (2)</span></p><p><span lang="EN-IN">5a + 3b + 7c = 89Rs.</span></p><p><span lang="EN-IN">Price of 5 apple, 3 bananas and 7 oranges is Rs. 89.</span></p>

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