Amelia

Amelia and Ray were making cupcakes. In a glass bowl, they added 3 cups of flour, 1 1/3 cups of vegetable oil, 1/2 cup of butter, 1/4 cup of chocolate chips, and 2 more cups of other ingredients. How many cups of batter are in the bowl?

Correct answer:

m =  7 ¹⁄₁₂ = 85/12 cps

Step-by-step explanation:

$$\begin{gathered} m_1=3\text{cps} \\ {m}_2=1\frac{1}{3}=1+\frac{1}{3}=\frac{1\cdot 3+1}{3}=\frac{3+1}{3}=\frac{4}{3}\doteq 1.3333\text{cps} \\ {m}_3=1/2=\frac{1}{2}=0.5\text{cps} \\ {m}_4=1/4=\frac{1}{4}=0.25\text{cps} \\ {m}_5=2\text{cps} \\ {M}_1=m_2+m_3+m_4=\frac{4}{3}+\frac{1}{2}+\frac{1}{4}=\frac{16}{12}+\frac{6}{12}+\frac{3}{12}=\frac{16+6+3}{12}=\frac{25}{12}\doteq 2.0833\text{cps} \\ {M}_2=m_1+m_5=3+2=5\text{cps} \\ m=M_1+M_2=\frac{25}{12}+5=\frac{25}{12}+\frac{5\cdot 12}{12}=\frac{25}{12}+\frac{60}{12}=\frac{25+60}{12}=\frac{85}{12}=\frac{85}{12}\text{cps}=7\frac{1}{12}\text{cps}=7.0833\text{cps} \end{gathered}$$

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