Mathematics · Diophantine Equations

How many combinations of positive integers x and y satisfy the linear Diophantine equation 25x + 6y = 378?

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A lady bought some apples, each costing Rs. 25, and some bananas, each costing Rs. 6, for a total of Rs. 378. In how many different ways could she have chosen the positive whole numbers of apples and bananas?

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A lady bought some apples, each costing Rs. 25, and some bananas, each costing Rs. 6, for a total of Rs. 378. If she bought at least one apple and one banana, in how many ways could she have chosen the number of apples and bananas?

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How many combinations of positive integers x and y satisfy the linear Diophantine equation 25x + 6y = 378?

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How many combinations of positive integers x and y satisfy the linear Diophantine equation 25x + 6y = 378?

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