105 calories in bananas. 75 calories in apples. If Mary only eats these fruits and her total calorie intake is 1215 how many of each fruit did she eat

Answer :

Answer:

3 bananas and 12 apples.

Step-by-step explanation:

105b+ 75a = 1215     where b is number of bananas and a is number of apples.

Divide each number by 15:

7b + 5a =  81

5a must end in 5 or 10 so 7b must end in 1 or 6.

So we try:

21 and 60:

7 * 3 + 5 *1 2 = 81

So b = 3 and a = 12.

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