Shani

Shani mixed 1 1/3 cups peanuts, 1 3/4 cups raisins, and 1 1/2 cups chocolate chips to make a trail mix. How many cups of trail mix did she make?
Responses

Correct answer:

x =  4 ⁷⁄₁₂ = 55/12

Step-by-step explanation:

$$\begin{gathered} a=1\frac{1}{3}=1+\frac{1}{3}=\frac{1\cdot 3+1}{3}=\frac{3+1}{3}=\frac{4}{3}=1\frac{1}{3}\doteq 1.3333 \\ b=1\frac{3}{4}=1+\frac{3}{4}=\frac{1\cdot 4+3}{4}=\frac{4+3}{4}=\frac{7}{4}=1\frac{3}{4}=1.75 \\ c=1\frac{1}{2}=1+\frac{1}{2}=\frac{1\cdot 2+1}{2}=\frac{2+1}{2}=\frac{3}{2}=1\frac{1}{2}=1.5 \\ x=a+b+c=\frac{4}{3}+\frac{7}{4}+\frac{3}{2}=\frac{16}{12}+\frac{21}{12}+\frac{18}{12}=\frac{16+21+18}{12}=\frac{55}{12}=4\frac{7}{12}=4.5833 \end{gathered}$$

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