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### Question 5

(a) | A box contains apples and oranges in the ratio 3:7. There are 15 apples. How many oranges are in the box? |

(b) | The ratio of girls to boys in a class is 5:4. If there are 12 boys, how many girls are there in the class? |

(c) | Joe and Amy shared a cash prize in the ratio 4:9. If Joe received £35, how much did Amy win? |

(d) | Yellow and red paint are mixed in the ratio 2:7 for a particular shade of orange. 17 litres of red paint are available, how many litres of this shade of orange paint can be prepared? |

(e) | Orange squash should be diluted with water in the ratio 3:10. How much water is needed to dilute 75ml of squash? |

(f) | A recipe for salad dressing uses two parts vinegar to seven parts olive oil. What volume of vinegar is needed to make 50ml of dressing? |

(g) | It takes eight bricklayers 12 hours to build a garage. How long would it take to build it with only three bricklayers? |

(h) | The ratio of butter to flour in a recipe is 3:8. If 220g of butter is used, how much flour is needed? |

(i) | A 250g jar of coffee lasts for 23 days. How long will a 110g jar last? |

(j) | A pack of dog food feeds three dogs for 12 days. How long would the same size pack of food feed four identical dogs? |

(k) | The ingredients for a chicken and mushroom pie to serve four people include: 500g chicken, 200g mushrooms and 300g pastry. Calculate the quantities of these ingredients for a pie to serve seven people. |

(l) | In a box of sweets the ratio of the weights of milk chocolates to plain is 5:2 and the ratio of the weights of plain chocolates to fruit flavoured sweets is 3:2. If the weight of milk chocolates is 120g, calculate the weights of plain chocolates and fruit sweets. |