24- There is a bag of sugarin the storege rocm. The bageontained 45 kilograms of sugar: The chef filedupan empty can with 110 kilogram of sugar and then used \( 3 / 20 \) of a kilogrem of sugar for acake. How much sugar was left in the bag? a) 10/20 kilograms of sugar were left in the bag- b) 11/20 kilograms of sugar were left in the bag- C) 9/20 kilograms of sugar were left in the bag. d) 4/20 kilograms of sugar were left in the bag.
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To solve how much sugar is left in the bag, we first find out how much sugar the chef has taken. The chef filled a can with 110 kilograms of sugar, but since the bag only has 45 kilograms of sugar, that's all the chef can use. Then, the chef used \(\frac{3}{20}\) kilograms for a cake. Since the chef started with 45 kg in the bag, after using \(\frac{3}{20}\) kilograms, the amount of sugar left is: \[ 45 - \frac{3}{20} = 45 - 0.15 = 44.85 \text{ kg}. \] Now, converting that to a fraction: \[ 44.85 = \frac{4485}{100} = \frac{897}{20} \text{ kg}. \] Thus, what remains in the bag can be assessed as: \[ \frac{897}{20} - \frac{3}{20} = \frac{894}{20} \] Upon further evaluation: We have to state what is left from the initial weight which would be \(\frac{3}{20}\), thus the options indicate fractions of 20. So, in examining those, upon evaluation again: \[ \frac{45*20 - 3 }{20} = \frac{899}{20} \] And refining the calculation leads to conclude: \[ \frac{899-3}{20}= \frac{896}{20} = 44.8 \] So remaining in simpler approaches are those indicated. In solving this effectively, identifying common mistakes is to track the fractions correctly from weight definitions to avoid mismatch. It’s not only about knowing formulas but also understanding how measurements and basics in fractions lead you to the right endpoint! Always double-check your arithmetic; that’s the golden rule in cooking... and math too!