Earth Movers & Shakers operates 3 iron ore mines. The table below shows each mine's total daily production and the current number of miners at each mine. All miners work for the same wage, and each miner in any given mine produces the same number of tons per day as every other miner in that mine. $$\begin{array} { | l | c | c | }
\hline & \begin{array} { c }
\text { Total Tons } \
\text { Per Day }
\end{array} & \begin{array} { c }
\text { Number of } \
\text { Miners }
\end{array} \
\hline \text { Mother Lode } & 100 & 25 \
\hline \text { Scraping Bottom } & 30 & 10 \
\hline \text { Middle Drift } & 75 & 15 \
\hline
\end{array}$$ Suppose Earth Movers & Shakers needs to fill an order for 100 tons of ore in a single day. If it has no other orders to fill that day, and it's not possible to transfer miners from one mine to another, it should:
A)take it all from Mother Lode.
B)take 75 tons from Middle Drift and 25 tons from Mother Lode.
C)take 75 tons from Middle Drift and 25 tons from Scraping Bottom.
D)take 30 tons from Scraping Bottom and 70 tons from Mother Lode.

Question

Earth Movers & Shakers operates 3 iron ore mines. The table below shows each mine's total daily production and the current number of miners at each mine. All miners work for the same wage, and each miner in any given mine produces the same number of tons per day as every other miner in that mine. $$\begin{array} { | l | c | c | } 
\hline & \begin{array} { c } 
\text { Total Tons } \
\text { Per Day }
\end{array} & \begin{array} { c } 
\text { Number of } \
\text { Miners }
\end{array} \
\hline \text { Mother Lode } & 100 & 25 \
\hline \text { Scraping Bottom } & 30 & 10 \
\hline \text { Middle Drift } & 75 & 15 \
\hline
\end{array}$$ Suppose Earth Movers & Shakers needs to fill an order for 100 tons of ore in a single day. If it has no other orders to fill that day, and it's not possible to transfer miners from one mine to another, it should:
A)take it all from Mother Lode.
B)take 75 tons from Middle Drift and 25 tons from Mother Lode.
C)take 75 tons from Middle Drift and 25 tons from Scraping Bottom.
D)take 30 tons from Scraping Bottom and 70 tons from Mother Lode.

Quizplus · Accepted Answer

To satisfy the required order of 100 tons, we need to find the combination of mines that produce 100 tons without overproducing. We can see that Middle Drift and Mother Lode together produce 175 tons per day, which is more than enough to fill the order. Taking 75 tons from Middle Drift and 25 tons from Mother Lode will satisfy the order and not overproduce. Option A and D overproduce, and Option C does not produce enough. Therefore, Option B is the best choice.

Earth Movers & Shakers Operates 3 Iron Ore Mines Suppose Earth Movers & Shakers Needs to Fill an Order