Kilos of meat

Mary bought 6 1/3 kg of meat. Anita used 2 1/4 kg, Marcus used 2 1/8 kg, and the rest went to Adam. How many kilograms of meat did Adam receive?

Final Answer:

x =  1 ²³⁄₂₄ = 47/24 kg

Step-by-step explanation:

$$\begin{gathered} M=6\frac{1}{3}=6+\frac{1}{3}=\frac{6\cdot 3+1}{3}=\frac{18+1}{3}=\frac{19}{3}\doteq 6.3333\text{kg} \\ A=2\frac{1}{4}=2+\frac{1}{4}=\frac{2\cdot 4+1}{4}=\frac{8+1}{4}=\frac{9}{4}=2.25\text{kg} \\ S=2\frac{1}{8}=2+\frac{1}{8}=\frac{2\cdot 8+1}{8}=\frac{16+1}{8}=\frac{17}{8}=2.125\text{kg} \\ x=M-A-S=\frac{19}{3}-\frac{9}{4}-\frac{17}{8}=\frac{152}{24}-\frac{54}{24}-\frac{51}{24}=\frac{152-54-51}{24}=\frac{47}{24}=\frac{47}{24}\text{kg}=1\frac{23}{24}\text{kg}=1.9583\text{kg} \end{gathered}$$

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