vinay bought 3/4 kg of sweets.venkat bought 1-1/2 kg of sweets .how much kilograms of sweets did they buy in all
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Step-by-step explanation:
Let
The quantity of sweet costing Rs 70 be x and,
The quantity of sweet costing Rs 84 be y
Given, total quantity of sweets purchased is 36 kg
i.e., x+y=36 … (i)
Also given, the total money spent is Rs 2800
i.e., 70x+84y=2800 … (ii)
Multiplying (i) by 70, we get
70x+70y=2520 ... (iii)
Subtacting (ii) from (iii), we get
−14y=−280
⇒y=
−14
−280
⇒y=20
On substituting the value of y in equation (i), we get
x+20=36
⇒x=36–20
⇒x=16
Therefore, the quantities of sweets purchased are 16 kg which costs Rs 70 per kg and 20 kg which costs Rs 84 per kg.
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