www.boommaths.com ks3 problem solving constructing and solving equations
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How Many Spots?KS3 Problem Solving
Constructing and solving equations
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Problem : How many spots?
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There are 101 spots on two Dalmatian dogs.
One Dalmatian has 25 spots more than the other, how many spots does each dog have?
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Worked Solution
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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
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Worked Solution
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Solution 2: Step 1: Construct an equation
x + (x+25) = 101Step 2: Solve for x ( to find the number of spots on one dog)
2x + 25 = 1012x = 101 - 25
2x = 76x = 38
Therefore dog 1 has 38 spotsStep 3: Calculate the number of spots on dog 2
dog 2 = x + 1dog 2 = 38 + 25
Therefore dog 2 has 63 spots
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Question 1
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There are 101 spots on two Dalmatian dogs.
One Dalmatian has 31 spots more than the other, how many spots does each dog have?
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Question 2
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There are 101 spots on two Dalmatian dogs.
One Dalmatian has 27 spots more than the other, how many spots does each dog have?
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Question 3
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There are 101 spots on two Dalmatian dogs.
One Dalmatian has 33 spots more than the other, how many spots does each dog have?
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Question 4
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There are 101 spots on two Dalmatian dogs.
One Dalmatian has 29 spots more than the other, how many spots does each dog have?
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Question 5
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There are 101 spots on two Dalmatian dogs.
One Dalmatian has 35 spots more than the other, how many spots does each dog have?
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Question 6
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There are 220 spots on two Dalmatian dogs.
One Dalmatian has 62 spots more than the other, how many spots does each dog have?
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Question 7
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There are 222 spots on two Dalmatian dogs.
One Dalmatian has 72 spots more than the other, how many spots does each dog have?
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Question 8
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There are 224 spots on two Dalmatian dogs.
One Dalmatian has 82 spots more than the other, how many spots does each dog have?
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Question 9
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There are 226 spots on two Dalmatian dogs.
One Dalmatian has 67 spots more than the other, how many spots does each dog have?
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Question 10
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There are 228 spots on two Dalmatian dogs.
One Dalmatian has 63 spots more than the other, how many spots does each dog have?
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Plenary
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Use your mini whiteboards to answer the following questions
Click here for infinite questions
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Spots on Dog 1 Dog 2
Q1 35 66Q2 37 64Q3 34 67Q4 36 65Q5 33 68Q6 79 141Q7 75 147Q8 71 153Q9 67 159
Q10 63 165
Back to beginning
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Draw a model
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