Name: Date:

Question 1: Purple paint is made from using red and blue paint in the ratio 7 : 8. Write an equation for y in terms of x to show the relationship between the amount of red paint (y) and the amount of blue paint (x). |

Question 2: Amy and Barbara share out money in the ratio 4 : 11. Write an equation for A in terms of B to show the relationship between the amounts of money received by Amy (A) and Barbara (B). |

Question 3: The ratio of mushrooms to cheese on a pizza is 2 : 5. Write an equation for m in terms of c to show the relationship between the amount of mushrooms (m) and cheese (c). |

Question 4: A shop sells CDs and DVDs in the ratio 7 : 11. Write an equation for c in terms of d to show the relationship between the amounts of CDs (c) and DVDs (d). |

Question 5: The ratio of boys to girls joining a secondary school are 4 : 5. Write an equation for b in terms of g to show the relationship between the amount of boys (b) and girls (g). |

Question 6: A copper alloy is made by mixing zinc and copper in the ratio 2 : 3. Write an equation for z in terms of c to show the relationship between the amounts of zinc (z) and copper (c). |

Question 7: Anne, Ben and Charlie share sweets in the ratio 8 : 3 : 4. Write an equation for B in terms of C to show the relationship between the amounts of sweets received by Ben (B) and Charlie (C). |

Question 8: The ratio of mango, pineapple and apple in a fruit salad is 5 : 5 : 9. Write an equation for a in terms of p to show the relationship between the amounts of pineapple (p) and apple (a). |

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# Answers

Question 1: y={\Large\frac{8}{7}}x |

Question 2: A={\Large\frac{11}{4}}B |

Question 3: m={\Large\frac{5}{2}}c |

Question 4: c={\Large\frac{11}{7}}d |

Question 5: b={\Large\frac{5}{4}}g |

Question 6: z={\Large\frac{3}{2}}c |

Question 7: B={\Large\frac{4}{3}}C |

Question 8: a={\Large\frac{5}{9}}p |