1. www.boommaths.com KS3 Problem Solving Constructing and solving equations

2. www.boommaths.com There are 101 spots on two Dalmatian dogs. One Dalmatian has 25 spots more than the other, how many spots does each dog have?

3. www.boommaths.com Solution 1: Step 1: Draw a model Step 2: Use the diagram to calculate how many spots 101 – 25 = 76 76 = the value of the yellow shaded blocks 76 ÷ 2 = 38 Therefore one dog has 38 spots 38 + 25 = 63 Therefore dog two has 63 spots

4. www.boommaths.com Solution 2: Step 1: Construct an equation x + (x+25) = 101 Step 2: Solve for x ( to find the number of spots on one dog) 2x + 25 = 101 2x = 101 - 25 2x = 76 x = 38 Therefore dog 1 has 38 spots Step 3: Calculate the number of spots on dog 2 dog 2 = x + 1 dog 2 = 38 + 25 Therefore dog 2 has 63 spots

5. www.boommaths.com There are 101 spots on two Dalmatian dogs. One Dalmatian has 31 spots more than the other, how many spots does each dog have?

6. www.boommaths.com There are 101 spots on two Dalmatian dogs. One Dalmatian has 27 spots more than the other, how many spots does each dog have?

7. www.boommaths.com There are 101 spots on two Dalmatian dogs. One Dalmatian has 33 spots more than the other, how many spots does each dog have?

8. www.boommaths.com There are 101 spots on two Dalmatian dogs. One Dalmatian has 29 spots more than the other, how many spots does each dog have?

9. www.boommaths.com There are 101 spots on two Dalmatian dogs. One Dalmatian has 35 spots more than the other, how many spots does each dog have?

10. www.boommaths.com There are 220 spots on two Dalmatian dogs. One Dalmatian has 62 spots more than the other, how many spots does each dog have?

11. www.boommaths.com There are 222 spots on two Dalmatian dogs. One Dalmatian has 72 spots more than the other, how many spots does each dog have?

12. www.boommaths.com There are 224 spots on two Dalmatian dogs. One Dalmatian has 82 spots more than the other, how many spots does each dog have?

13. www.boommaths.com There are 226 spots on two Dalmatian dogs. One Dalmatian has 67 spots more than the other, how many spots does each dog have?

14. www.boommaths.com There are 228 spots on two Dalmatian dogs. One Dalmatian has 63 spots more than the other, how many spots does each dog have?

15. www.boommaths.com Use your mini whiteboards to answer the following questions Click here for infinite questions

16. www.boommaths.com Spots on Dog 1Dog 2 Q13566 Q23764 Q33467 Q43665 Q53368 Q679141 Q775147 Q871153 Q967159 Q1063165 Back to beginning

17. www.boommaths.com Back to Problem