Ulysses

Ulysses bought 6 1/2 kg of beef, 3 3/4 kg of pork, and 5 1/2 kg of chicken. If 1 kg of beef costs 400 pesos, 1 kg of pork costs 300 pesos, and 1 kg of chicken costs 170 pesos. How much change is left if he gives 5,000 pesos for his purchase?

Correct answer:

x =  340 P

Step-by-step explanation:

$$\begin{gathered} a=6\frac{1}{2}=6+\frac{1}{2}=\frac{6\cdot 2+1}{2}=\frac{12+1}{2}=\frac{13}{2}=6.5\text{kg} \\ b=3\frac{3}{4}=3+\frac{3}{4}=\frac{3\cdot 4+3}{4}=\frac{12+3}{4}=\frac{15}{4}=3.75\text{kg} \\ c=5\frac{1}{2}=5+\frac{1}{2}=\frac{5\cdot 2+1}{2}=\frac{10+1}{2}=\frac{11}{2}=5.5\text{kg} \\ {p}_1=400\text{P/kg} \\ {p}_2=300\text{P/kg} \\ {p}_3=170\text{P/kg} \\ T=a\cdot p_1+b\cdot p_2+c\cdot p_3=\frac{13}{2}\cdot 400+\frac{15}{4}\cdot 300+\frac{11}{2}\cdot 170=4660\text{P} \\ x=5000-T=5000-4660=340\text{P} \end{gathered}$$

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