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Question
Apple cost x rupees per dozen and mangoes cost y rupees per score. Write a formula to find the total cost C in rupees of 20 apples and 30 mangoes.
Solution
Cost of 2 apples = x rupees (1 dozen = 12)
Cost of 1 apple = `"x"/(12)"rupees"`
Cost of 20 apple = `(20"x")/(12)"rupees"`
Cost of 20 mangoes = y rupees (1 score = 20)
Cost of 1 mango = `"y"/(20)"rupees"`
Cost of 30 mango = `(30"y")/(20)"rupees"`
Total cost
= `(20"x")/(12) + (30"y")/(20)`
= `(20"x")/(12) + (3"y")/(2)`
= `(20"x" + 18"y")/(12)`
= `(10"x" + 9"y")/(6)`
As per the data: C = `(10"x" + 9"y")/(6)`.
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