Comparing representations and conclusions

Worked solution

1. 1

   Read the two counts being compared.

   $\begin{array}{rl}\text{Sandwich:}& 5\\ \text{Rice:}& 2\end{array}$

   The question compares sandwich with rice, so the wrap count is not needed for this difference.

2. 2

   Subtract the smaller count from the larger.

   $5-2=3$

   Matching two rice choices to two sandwich choices leaves three sandwich choices unmatched.

3. 3

   Use the difference to answer the question.

   $3\text{more children}$

   Sandwich has the larger count, so three more children chose sandwich than rice.

Worked solution

1. 1

   Compare the sandwich counts.

   $5=5$

   Both the table and the second display give five sandwich choices, so this row agrees.

2. 2

   Compare wrap and rice with their table rows.

   $\begin{array}{rl}\text{Wrap:}& 2\ne 3\\ \text{Rice:}& 3\ne 2\end{array}$

   The display gives wrap two instead of three, and rice three instead of two. These two counts have been swapped.

3. 3

   Check why an equal total is not enough.

   $\begin{array}{rl}5+3+2& =10\\ 5+2+3& =10\end{array}$

   Both totals are ten, but they put different numbers in the wrap and rice groups. Every named group's count must agree.

4. 4

   State the two counts needed to match.

   $\begin{array}{rl}\text{Wrap:}& 3\\ \text{Rice:}& 2\end{array}$

   The table records three wrap choices and two rice choices, so the other display does not match it.