1.

1). 2.07 kg sugar2). 2.07 kg water3). 5 kg water4). 5 kg sugar

Answer»

Ten kg of solution prepared by Adya will initially contain :

Amount of sugar = $(\frac{{29}}{{64}} \times 10 = 4.53125\;kg)$

Amount of water = 10 − 4.53125 = 5.46875 kg

She has been instructed to PREPARE the solution by using sugar and water in the RATIO 35 ? 29 but she prepared in the ratio 29 ? 35 which clearly MEANS, she used less quantity of sugar.

Keeping the quantity of water same, let she adds X kg of sugar to it.

$(\begin{array}{l}\THEREFORE {\rm{\;}}\frac{{Amount\;of\;sugar}}{{Amount\;of\;water}} = \frac{{35}}{{29}}\\ \Rightarrow \frac{{4.53125 + x}}{{5.46875}} = \frac{{35}}{{29}}\end{array})$ 

⇒ 131.40625 + 29x = 191.40625

⇒ 29x = 60

∴ x = 2.07 kg

∴ Adya will have to add 2.07 kg of sugar more to prepare the syrup as per instructions.



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