Question

A display has
\[6\] packs of marbles with a total mass of
\[629\,\text{g}\]. The packaging of each pack has a mass of

\[\dfrac{2}{3}\,\text{g}\] and each marble has a mass of

\[4\dfrac{1}{2}\,\text{g}\].
Which equation can we use to determine
\[m\], the number of marbles per pack?
Choose 1 answer:
A


\[6\cdot 4\dfrac{1}{2}m+\dfrac{2}{3}=629\]
B


\[6m\left(4\dfrac{1}{2}+\dfrac{2}{3}\right)=629\]
C


\[6m+4\dfrac{1}{2}+\dfrac{2}{3}=629\]
D


\[6\left(4\dfrac{1}{2}m+\dfrac{2}{3}\right)=629\]

Answer 1

Each pack has mass 4 1/2·m + 2/3 (m marbles plus the packaging). Six packs give total mass 6(4 1/2·m + 2/3) = 629, so answer D.