Christie has a total of 15 pieces of fruit, all bananas and apples, worth $1.59. Bananas are 13 cents each and apples are 7 cents each. How many bananas and how many apples does she have? Select one: a. 6 bananas, 9 apples b. 9 bananas, 6 apples c. 9 bananas, 24 apples d. 21 bananas, 6 apples

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Christie has a total of 15 pieces of fruit, all bananas and apples, worth $1.59. Bananas are 13 cents each and apples are 7 cents each. How many bananas and how many apples does she have? Select one: a. 6 bananas, 9 apples b. 9 bananas, 6 apples c. 9 bananas, 24 apples d. 21 bananas, 6 apples

Algebra
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Let 'a' be the amount of apples and 'b' the amount of bananas a + b = 15 (she has 15 pieces of fruit total) 0.07a + 0.13b = 1.59 (the fruit cost $1.59 total) The first equation can be written b = 15 - a. Now substitute that into the second equation. 0.07a + 0.13(15 - a) = 1.59 0.07a + 1.95 - 0.13a = 1.59 -0.06a + 1.95 = 1.59 -0.06a = -.36 a = -0.36 / -0.06 a = 6 Now plugging that back into the first equation: b = 15 - 6 = 9. so apples= 6 bananas = 9

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