Question

six kilograms of sugar can be extracted from about fifty kilograms of beetroot . how muh of beetroot is needed to extract 1 tonne of sugar ? (1 tonne = 1000 kg).

Answer 1

6kg sugar => 50kg beetroot
1 kg sugar => 50/6 kg beetroot
1000 kg sugar => 50/6×1000kg beetroot
=8333.33 kg beetroot

Answer 2

Answer:

$\red { Required \: beetroot } \green {= 8333\frac{1}{3}\:kg }$

Step-by-step explanation:

If the number of kilogrammes of sugar extracted increases then the beetroot needed is increases.

Therefore, number of kilogrammes of sugar directly varies with the number of beetroot needed.

$So, \frac{x_{1}}{y_{1}} = \frac{x_{2}}{y_{2}}$

$x_{1} = 6 \: kg \: sugar ; \\y_{1} = 50 \:gm \: beetroot$

$x_{2} = 1000 \: kg \: sugar ; \\y_{2} = \red {?} \:gm \: beetroot$

$\frac{6}{50} = \frac{1000}{y_{2}}$

$\implies y_{2} = \frac{1000\times 50}{6}\\= 8333\frac{1}{3} \:kg$

Therefore.,

$\red { Required \: beetroot } \green {= 8333\frac{1}{3}\:kg }$

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