Data & Graphs

Problem

Total all categories from a pictograph

A pictograph gives the count of each flower type (large picture = 10, small picture = 1). All flowers are grouped into bouquets of 7, with leftovers wrapped singly. A bouquet uses 95 cm of ribbon and each single flower uses 28 cm. We find the total ribbon in meters and centimeters.
Number of Flowers by Type Type Number of flowers Rose Tulip Chrysanthemum Lily = 10 flowers = 1 flower
Measurement & data
Your answer
How to solve
Strategy Identify Subproblems — Several steps chain together: read each flower count, find the grand total, divide by 7 for bouquets and remainder, then combine ribbon lengths and convert to m and cm - watching the cm/m units.
1STEP 1

Read each flower count from the pictograph

Each large picture is 10 and each small is 1. Rose: 3x10 + 2 = 32. Tulip: 1x10 + 5 = 15. Chrysanthemum: 2x10 + 1 = 21. Lily: 1x10 + 9 = 19.

32, 15, 21, 19
2STEP 2

Find the total number of flowers

Add all four counts: 32 + 15 + 21 + 19 = 87 flowers in all.

32 + 15 + 21 + 19 = 87
3STEP 3

Divide into bouquets of 7

Group 87 flowers by 7: 87 / 7 = 12 with remainder 3, so there are 12 bouquets and 3 single flowers left over.

87 ÷ 7 = 12 R 3
4STEP 4

Ribbon for bouquets and singles

12 bouquets x 95 cm = 1140 cm, and 3 singles x 28 cm = 84 cm. Add: 1140 + 84 = 1224 cm.

12 × 95 = 1140, 3 × 28 = 84, 1140 + 84 = 1224 cm
5STEP 5

Convert to meters and centimeters

Since 100 cm = 1 m, 1224 cm = 12 m and 24 cm left over.

1224 cm = 12 m 24 cm
Answer
12 m 24 cm (1224 cm)
1224 cm = 12 m 24 cm
87 flowers in groups of 7 give 12 bouquets (84 flowers) plus 3 singles = 87, which checks. Ribbon 1140 + 84 = 1224 cm, and 12 m 24 cm = 1224 cm, so the conversion is right; about 12 m is sensible for a dozen bouquets.
Takeaway

Count the flowers, group by 7, then add up the ribbon and trade every 100 cm for a meter!

  • Read each flower count from the pictograph
  • Find the total number of flowers
  • Divide into bouquets of 7
  • Ribbon for bouquets and singles
  • Convert to meters and centimeters
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