Question

Given below are certain math expressions and problem statements along with their possible conclusions. Choose the correct conclusion(s).
\(\begin{array}{|l|l|l|l|}
\hline
\text{Math expression} &\text{Problem statement}\\\hline
I. \dfrac{1}{6} \div 12 &1.\text{Julia has a 5-meter-long ribbon. She cuts it into pieces of}\\
&\text{length} ~\dfrac{1}{3}~\text{meters. Find the number of pieces of ribbon Julia}\\
&\text{will have}\\\hline
II. 5 \div \dfrac{1}{3} &2. ~\dfrac{1}{6}~\text{gallons of paint is equally distributed among 12 tins.}\\
&\text{Find the amount of paint in each tin.}\\\hline
\end{array}\)
Conclusion 1: Math expression I matches problem statement 2.
Conclusion 2: Math expression II matches problem statement 1.

Answer 1

Let’s check the problem statements one by one.
Problem statement 1:
Length of the ribbon \(= 5~m\)
Length of each piece of the ribbon \( = \dfrac{1}{3}~m\)
Number of pieces Julia can cut the ribbon into \(= 5 \div \dfrac{1}{3}\)
So conclusion \(1\) i.e. problem statement \(1\) can be matched to math expression II is correct.

Problem statement 2:
Available amount of paint \(= \dfrac{1}{6}~\text{gal}\)
Number of tins \(= 12\)
Amount of paint in each tin \(= \dfrac{1}{6} \div 12\)

So conclusion \(2\) i.e., problem statement \(2\) can be matched to math expression I is correct.