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Solve equal-group word problems

Equal-group word problems involve interpreting a situation as a number of equal groups, the number in each group, and the resulting total, then representing the relationship with drawings, arrays, repeated addition, or a multiplication or division equation. The learner determines an unknown total, group size, or number of groups and distinguishes equal grouping from additive comparison; the scope is whole-number situations within 100, excluding remainders, fractions, and more advanced multistep or generalized cases.

Detailed Explanation: Solve equal-group word problems

An equal-group problem has:

  • a number of groups
  • the same number in each group
  • a total

Look for words such as each, every, or equal groups.

Example:
There are 44 baskets. Each basket has 33 apples. How many apples are there altogether?

Step 1: Find the groups.
The 44 baskets are the groups.

Step 2: Find how many are in each group.
Each basket has 33 apples.

Step 3: Draw equal groups.

(● ● ●)(● ● ●)(● ● ●)(● ● ●)(●\ ●\ ●)\quad (●\ ●\ ●)\quad (●\ ●\ ●)\quad (●\ ●\ ●)

There are 44 groups with 33 apples in each group.

Step 4: Add the equal groups.

3+3+3+3=123+3+3+3=12

This can also be written as a multiplication equation:

4×3=124\times 3=12

So, there are (12)(12) apples altogether.

Remember: Do not add the number of groups and the number in each group. Instead, add the equal groups or multiply:

number of groups×number in each group=total\text{number of groups}\times\text{number in each group}=\text{total}

Learn by doing: Solve equal-group word problems

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Counting in Groups - Picture and Count (Flower Petals)


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