A certain type of mixture is prepared by mixing brand A at ₹. 9 a kg with brand B at ₹ 4kg.IF the mixture is worth ₹ 7 a kg , how many kgs of brand A are needed to make 40 kgs of the mixture?
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Step-by-step explanation:
A + B = 40.
And at Rs 7 a kg for 40 kg, you want a total of Rs.280.
So the second equation is 9A + 4B = 280
From the first equation: B = 40 - A
and sub into the second equation:
9A + 4(40-A) = 280
9A + 160 - 4A = 280
5A = 120
A = 24.
And you should check: B should equal 40-24 = 16. Check with the final equation: 9*24 + 4*16 = 216 + 64 = 280. So it works.
Your answer, of course, is A = 24.
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