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lys-0071 [83]
3 years ago
13

Two classrooms are sharing seven packages of unit cubes if the packages are split evenly how many packages with each classroom r

eceive
Mathematics
1 answer:
vladimir1956 [14]3 years ago
8 0
We have two classrooms and seven packages.

This means we need to divide the seven packages in half (two pieces).

7packages ÷ 2 classrooms = 7/2 = 3.5 packages per class
(three and a half packages)
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1/2a+2/3b=50 when b=30?
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The given equation is (1/2)a + (2/3) b = 50

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Substituting the given value of b is above the equation we get

\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow\left(\frac{1}{2}\right)a+\left(\frac{2}{3}\right)\times30=50   } \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow \left(\frac{1}{2}\right)a+20=50 } \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow\left(\frac{1}{2}\right)a=50-20=30  } \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf \bf{\Rightarrow a = 30 \times 2 = 60 } \end{gathered}$}

Therefore, a = 60 and b = 30 is a solution of the given equation.

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