Data & Graphs

Problem

Translate between table and pictograph

A table and a matching pictograph show apple boxes for four orchards. The table gives Singsing 780, Haengbok 800, and total 3000, with Manna and Dalkom blank. The pictograph's only filled row, Dalkom, shows 6 large apples (100 boxes each) and 9 small apples (10 boxes each). We complete the table, which means finding Dalkom and Manna.
Apples Harvested by Orchard (table) Orchard Singsing Manna Dalkom Haengbok Total Boxes harvested 780 800 3000 Apples Harvested by Orchard (pictograph) Orchard Amount Singsing Manna Dalkom Haengbok = 100 boxes = 10 boxes
Measurement & data
Your answer
How to solve
Strategy Organize Information in More Ways — Translate the pictograph picture into a number (Dalkom), then treat 'find Manna' as the remaining subproblem using the total. This is moving between two representations of the same data.
1STEP 1

Read Dalkom from the pictograph

Dalkom shows 6 large apples and 9 small apples: 6 × 100 + 9 × 10 = 600 + 90 = 690.

6 × 100 + 9 × 10 = 600 + 90 = 690
2STEP 2

Find Manna using the total

The four orchards add to 3000. Subtract the three known amounts: 3000 - 780 - 690 - 800 = 730.

3000 - 780 - 690 - 800 = 730
3STEP 3

Complete the pictograph rows

Convert back to apples: Singsing = 7 large+8 small, Manna = 7 large+3 small, Dalkom = 6 large+9 small, Haengbok = 8 large.

780 = 7×100+8×10, 730 = 7×100+3×10, 800 = 8×100
Answer
Manna = 730 boxes, Dalkom = 690 boxes (Singsing 7 large + 8 small; Manna 7 large + 3 small; Dalkom 6 large + 9 small; Haengbok 8 large)
Add all four: 780 + 730 + 690 + 800 = 3000, which matches the given total exactly, so the table is consistent.
Takeaway

Each big apple is 100 and each little apple is 10 - count them up, then the total fills in the rest!

  • Read Dalkom from the pictograph
  • Find Manna using the total
  • Complete the pictograph rows
Where next?
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▶ Practice — 8 problems