Graphical Approach to solve multi-step

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Graphical Approach to solve multi-step problems Mr. Knapp had some stamps. If he gave 7 stamps to each of his children, he would have 5 stamps left. If he gave 8 stamps to each child, he would need 3 more stamps in order for them to have an equal number of stamps. How many stamps did Mr. Knapp have? 70 Must Know Word Problems, Level 4 (Singapore: Singapore Asian Ltd., 2009)

Graphical Approach to solve multi-step problems Mr. Knapp had some stamps. If he gave 7 stamps to each of his children, he would have 5 stamps left. If he gave 8 stamps to each child, he would need 3 more stamps in order for them to have an equal number of stamps. How many stamps did Mr. Knapp have? 70 Must Know Word Problems, Level 4 (Singapore: Singapore Asian Ltd., 2009)

Graphical Approach to solve multi-step problems If he gave 7 stamps to each of his children, he would have 5 stamps left. ? = Number of children Stamps ? 5

Graphical Approach to solve multi-step problems 2) If he gave 8 stamps to each child, he would need 3 more stamps in order for them to have an equal number of stamps. Stamps ? 5 3 ?

Graphical Approach to solve multi-step problems 5 Stamps ? 3 Number of children

Graphical Approach to solve multi-step problems Stamps 3 ? ? ? ? ? ? ? 5 ? ? ? ? ? ? ? 8 Number of children

Graphical Approach to solve multi-step problems Stamps 3 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 Number of children Number of stamps: 56 + 5 = 61

Graphical Approach to solve multi-step problems Stamps 3 = 61 8 8 8 8 8 8 8 5 8 8 8 8 8 8 8 8 Number of children Number of stamps: 56 + 5 = 61

Graphical Approach to solve multi-step problems Algebraic Approach Mr. Knapp had some stamps. If he gave 7 stamps to each of his children, he would have 5 stamps left. If he gave 8 stamps to each child, he would need 3 more stamps in order for them to have an equal number of stamps. How many stamps did Mr. Knapp have?

Graphical Approach to solve multi-step problems Algebraic Approach Let, x = number of students N = number of stamps

Graphical Approach to solve multi-step problems Algebraic Approach x = number of students N = number of stamps If he gave 7 stamps to each of his children, he would have 5 stamps left. 7x + 5 = N

Graphical Approach to solve multi-step problems Algebraic Approach x = number of students N = number of stamps 7x + 5 = N 2) If he gave 8 stamps to each child, he would need 3 more stamps in order for them to have an equal number of stamps. 8x = N + 3

Graphical Approach to solve multi-step problems Algebraic Approach x = number of students N = number of stamps 7x + 5 = N 8x = N + 3

Graphical Approach to solve multi-step problems Algebraic Approach 8x = N + 3 – ( ) - 7x + 5 = N x – 5 = 3 or x = 8, the number of students N = 61 the number of stamps