## Pie Charts: Word Problems

#### Word Problem 1. A community centre organized a racial harmony fair through which it collected a sum of $5880. The pie chart below shows the amount of money collected by the various stalls.

**a) Find the sum of money collected by the games stall.**

1 |

4 |

The games stall collected $1470.

**b) What percentage of the total money was collected by the souvenir stall?**

$5880 − $882 − $2352 − $1470 = $1176

The souvenir stall collected $1176.

$1176 |

$5880 |

The souvenir stall collected 20% of the total money.

**c) What fraction of the total money was collected by the foods stall?**

$2352 |

$5880 |

2 |

5 |

2 |

5 |

**d) What fraction of the total money was collected by the drinks stall?**

$882 |

$5880 |

3 |

20 |

3 |

20 |

**e) What percentage of the total money was collected by the food and drinks stalls?**

$2352 + $882 = $3234

The food and drinks stalls collected $3234 together.

$3234 |

$5880 |

55% of the total money was collected by the food and drinks stalls.

**f) What was the ratio of the sum of money collected by the food and drinks stalls to the sum of money collected by the games stall?**

$3234 : $1470 = 11 : 5

The ratio of of the sum of money collected by the food and drinks stalls to the sum of money collected by the games stall was 11 : 5.

#### Word Problem 2. A clothing merchant has 3840 pieces of clothing of 5 types. The pie chart below represents what fraction of the clothing are of each type. PQ is the diameter of the circle on the pie chart.

**a) How many shirts does the clothing merchant have?**

1 |

2 |

3 |

8 |

4 - 3 |

8 |

=

1 |

8 |

1 |

8 |

The clothing merchant has 480 shirts.

**b) What fraction of the clothing are dresses?**

1 |

2 |

1 |

5 |

1 |

4 |

10 - 2 - 5 |

20 |

=

3 |

20 |

3 |

20 |

**c) How many dresses are there?**

3 |

20 |

There are 576 dresses.

**d) Are there more dresses or skirts? How many more?**

From the pie chart it is clear that there are more skirts than dresses (as the pie representing the skirts is bigger than the pie representing the dresses).

1 |

5 |

There are 768 skirts.

768 − 576 = 192

There are 192 more skirts than dresses.

**e) What is the ratio of the number of T-shirts to the number of shirts?**

3 |

8 |

There are 1440 T-shirts.

1440 : 480 = 3 : 1

The ratio of the number of T-shirts to the number of shirts is 3 : 1.

**f) How many percent of the clothing are pants and skirts?**

1 |

4 |

There are 960 pairs of pants.

960 + 768 = 1728

There are 1728 pants and skirts together.

1728 |

3840 |

45% of the clothing are pants and skirts.

#### Word Problem 3. A florist has some roses in 5 different colours. The pie chart below shows what percentage of the roses are in each colour. AB is a diameter of the circle on the pie chart.

**a) How many percent of the roses are orange?**

50% − 25% − 12% = 13%

13% of the roses are orange.

**b) Given that there are 36 yellow roses, how many roses are there altogether?**

12% --> 36

1% --> frGen(36,12)

= 3

100% --> 3 × 100

= 300

There are 300 roses altogether.

**c) What is the ratio of the number of white roses to the number of red roses?**

50% − 40% = 10%

10% of the roses are white.

10 |

100 |

There are 30 white roses.

40% of the roses are red.

40 |

100 |

There are 120 red roses.

30 : 120 = 1 : 4

The ratio of the number of white roses to the number of red roses is 1 : 4.