LUWU
3 16 articles cost 72. What will be the cost of 30 articles? How many articles
can be bought for
207?
Answers
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Given equation:
(x+2)(x+3)+(x-3)(x-2)-2x(x+1)=0
=> x²+3x+2x+6+x²-2x-3x+6-2x²-2x=0
=> x²+5x+6+x²-5x+6-2x²-2x=0
=> x²+x²-2x²+5x-5x-2x+6+6=0
=> -2x+12=0
=> -2x=-12
=> x = (-12)/(-2)
=> x = 6
Therefore,
x=6
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Step-by-step explanation:
16 articles cost
Let cost price of one article be Rs. c.
Given: 16 articles cost Rs. 72.
⇒ 16 × c = 72
So, the cost price of one article is Rs. 4.50.
Now, Cost Price of 30 articles = 30c
⇒ Cost Price of 30 articles = 30 × 4.50
∴ Cost Price of 30 articles = Rs. 135
Let us assume y articles can be bought for Rs. 207.
⇒ y × c = 207
⇒ y × 4.50 = 207
Thus, the cost of 30 articles is Rs. 135 and 46 articles can be bought for Rs. 207.