## Equivalent Fractions and Ratios

#### 1. Leela adds fertilizer to her flower pots which are all of the same size.

She uses 3 tablespoons of fertilizer for every 9 flower pots.

**a) Express the number of tablepoons of fertilizer as a fraction of the number of flower pots in the simplest form.**

3 |

9 |

1 |

3 |

**b) If she has 6 flower pots, how many tablespoons of fertilizer does she need?**

1 |

3 |

? |

6 |

1 |

3 |

1 x 2 |

3 x 2 |

2 |

6 |

She needs 2 tablespoons of fertilizer.

**c) How many flower pots are needed if 5 tablespoons of fertilizer is used?**

1 |

3 |

1 x 5 |

3 x 5 |

5 |

15 |

15 flower pots are needed if 5 tablespoons of fertilizer are used.

#### 2. Larry is making a pattern with 14 green tiles for every 70 blue tiles.

**a) Find the ratio of the number of green tiles to the number of blue tiles in the simplest form.**

14 : 70 = 7 : 35 = 1 : 5

The ratio of the number of green tiles to the number of blue tiles is

The ratio of the number of green tiles to the number of blue tiles is

**1 : 5**.**b) Find the ratio of the number of blue tiles to the number of green tiles.**

70 : 14 = 35 : 7 = 5 : 1

The ratio of the number of blue tiles to the number of green tiles is

The ratio of the number of blue tiles to the number of green tiles is

**5 : 1**.**c) If he uses 35 green tiles, how many blue tiles does he use?**

The number of green tiles and blue tiles used are in the ratio 1 : 5.

1 unit = 35

5 units = 35 × 5 = 175

He uses

1 unit = 35

5 units = 35 × 5 = 175

He uses

**175**blue tiles.**d) If he uses a total of 120 tiles, how many of them are blue?**

Again, the ratio of the number of green tiles to the number of blue tiles is 1 : 5.

6 units = 120

1 unit = 120 ÷ 6 = 20

6 units = 20 × 5 = 100

There are

6 units = 120

1 unit = 120 ÷ 6 = 20

6 units = 20 × 5 = 100

There are

**100**blue tiles.**e) He adds red tiles to the pattern so the ratio of the number of green tiles to the number of blue tiles to the number of red tiles is 1:5:2. If he uses 240 tiles altogether, how many of them are red?**

The ratio of the number of green tiles to the blue tiles to red tiles is 1 : 5 : 2.

8 units = 240

1 unit = 240 ÷ 8 = 30

2 units = 30 × 2 = 60

There are

8 units = 240

1 unit = 240 ÷ 8 = 30

2 units = 30 × 2 = 60

There are

**60**red tiles.