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A fruiterer had some apples. 2/9 of the number of

Berikut ini adalah pertanyaan dari jino6135 pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Pertama

A fruiterer had some apples. 2/9 of the number of apples were rotten. He gave 18 apples to his neighbour and sold seven times as many as he had to his neighbour. If he had 1/3 of the apples left, how many apples did he have at first?

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

Answer:

In order to simplify the calculation, we change the word apple into a variable x.

x - \frac{2}{9}x - 18 - (18 \times 7) = \frac{1}{3}x \\ x - \frac{2}{9} x - 18 - 126 = \frac{1}{3} x \\ x - \frac{2}{9}x - 144 = \frac{1}{3} x \\ \frac{9 - 2}{9}x - 144 = \frac{1}{3} x \\ \frac{7}{9} x - 144 = \frac{1}{3} x

- 144 = \frac{1}{3} x - \frac{7}{9} x \\ - 144 = \frac{3 - 7}{9} x \\ - 144 = - \frac{4}{9}x \\ x = - 144 \div (- \frac{4}{9}) \\ x = 144 \div \frac{4}{9} \\

x = 144 \times \frac{9}{4} \\ x = \frac{1296}{4} \\ x = 324 \: apples

So, the original number of apples is 324 apples

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Last Update: Tue, 20 Sep 22
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