SOLUTION: Ashok spends 1/8 of the money for mangoes and 1/7 of the remaining money for sweets and then with the left over money, he goes to a bakery and spends 1/6 of the money to buy bread

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Question 1043680: Ashok spends 1/8 of the money for mangoes and 1/7 of the remaining money for sweets and then with the left over money, he goes to a bakery and spends 1/6 of the money to buy bread for his father and with the remaining money, he spends 1/5 and buys flowers for his sister and from the amount left over, he buys a cricket ball by spending 1/4 of the amount. Now, he is left with 48. How much money Ashok had at the beginning?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
He starts with +x+ amount of money
Ashok spends 1/8 of the money for mangoes
That leaves him with +x+-+%281%2F8%29%2Ax+=+%287%2F8%29%2Ax+
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and 1/7 of the remaining money for sweets
That leaves him with:
+%287%2F8%29%2Ax+-+%281%2F7%29%2A%287%2F8%29%2Ax++=+%286%2F8%29%2Ax+
+%286%2F8%29%2Ax+=+%283%2F4%29%2Ax+
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He spends 1/6 of the money to buy bread for his father
That leaves him with:
+%283%2F4%29%2Ax+-+%281%2F6%29%2A%283%2F4%29%2Ax+=+%286%2F8%29%2Ax+-+%281%2F8%29%2Ax+
+%286%2F8%29%2Ax+-+%281%2F8%29%2Ax+=+%285%2F8%29%2Ax+
----------------------------
He spends 1/5 and buys flowers for his sister
That leaves him with:
+%285%2F8%29%2Ax+-+%281%2F5%29%2A%285%2F8%29%2Ax+=+%284%2F8%29%2Ax+
+%284%2F8%29%2Ax+=+%281%2F2%29%2Ax+
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He buys a cricket ball by spending 1/4 of the amount.
That leaves him with:
+%284%2F8%29%2Ax+-+%281%2F4%29%2A%282%2F4%29%2Ax+=+%284%2F8%29%2Ax+-+%281%2F8%29%2Ax+
+%284%2F8%29%2Ax+-+%281%2F8%29%2Ax+=+%283%2F8%29%2Ax+
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+%283%2F8%29%2Ax+=+48+
+3x+=+384+
+x+=+128+
Ashok had 128 at the beginning
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check answer:
Ashok spends 1/8 of the money for mangoes
That leaves him with +%287%2F8%29%2A128+=+112+
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and 1/7 of the remaining money for sweets
That leaves him with: +%286%2F7%29%2A112+=+96+
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He spends 1/6 of the money to buy bread for his father
That leaves him with: +%285%2F6%29%2A96+=+80+
-----------------------------------
He spends 1/5 and buys flowers for his sister
That leaves him with: +%284%2F5%29%2A80+=+64+
-----------------------------------
He buys a cricket ball by spending 1/4 of the amount.
That leaves him with: +%283%2F4%29%2A64+=+48+
He is left with 48
OK