Math  /  Numbers & Operations

Questiona. Migher Order Thinking Corla buys two packages of pons. She buys 49 pons in all. Which color pens does Carla buy? Show how you found the answer. \begin{tabular}{|l|c|} \hline \multicolumn{2}{|c|}{ Aen Derley } \\ \hline Pen Cotor & Number of Pens \\ \hline Blue & 25 \\ \hline Black & 12 \\ \hline Red & 24 \\ \hline Green & 33 \\ \hline \end{tabular}

Studdy Solution

STEP 1

1. Carla buys two packages of pens.
2. The total number of pens Carla buys is 49.
3. Each package contains pens of a single color.
4. The number of pens in each package corresponds to the numbers in the given table.

STEP 2

1. Identify potential combinations of pen packages.
2. Check each combination to find the one that sums to 49 pens.
3. Confirm the solution.

STEP 3

List the number of pens available in each color from the table: - Blue: 25 pens - Black: 12 pens - Red: 24 pens - Green: 33 pens

STEP 4

Check combinations of two different colors to see if they sum to 49 pens.
- Blue (25) + Black (12) = 37 (not 49) - Blue (25) + Red (24) = 49 (possible solution) - Blue (25) + Green (33) = 58 (not 49) - Black (12) + Red (24) = 36 (not 49) - Black (12) + Green (33) = 45 (not 49) - Red (24) + Green (33) = 57 (not 49)

STEP 5

Confirm that the combination of Blue and Red pens is the only one that sums to 49 pens.
- Blue (25) + Red (24) = 49
Carla buys pens in the following colors:
Blue and Red\boxed{\text{Blue and Red}}

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