Graphical Approach to solve multi-stepproblems

Cookies are in 40 boxes consisting of a round and heart shapes. Each round shaped box has 4 cookies, and each heart shaped box has 3 cookies. The total number of cookies in the round shaped boxes is twice as much as the total number of the cookies in the heart shaped boxes. What is the total number of cookies in these boxes?

Primary Mathematics, Intensive Practice, US. Ed, 4A

Graphical Approach to solve multi-stepproblems

Primary Mathematics, Intensive Practice, US. Ed, 4A

Cookies are in 40 boxes consisting of round and heart shapes. Each round shaped box has 4 cookies, and each heart shaped box has 3 cookies. The total number of cookies in the round shaped boxes is twice as much as the total number of the cookies in the heart shaped boxes. What is the total number of cookies in these boxes?

Graphical Approach to solve multi-stepproblems

R Number of round shaped boxes

H Number of heart shaped boxes

Graphical Approach to solve multi-stepproblems

Total Number of BoxesR H

40

Graphical Approach to solve multi-stepproblems

R R R R

H H H

4 cookies in each round shaped box

3 cookies in each heart shaped box

Graphical Approach to solve multi-stepproblems

R R R R H H H

Total number of cookies

Cookies in the round shaped boxes istwice the total in the heart shaped boxes.

R R R R

=

H H H

+ H H H

Graphical Approach to solve multi-stepproblems

R R R R H H H

Cookies = ?

Graphical Approach to solve multi-stepproblems

R H

40

R H

40

R H

40

R H

40

Boxes of Cookies

Graphical Approach to solve multi-stepproblems

R H R H R H R H

160

Graphical Approach to solve multi-stepproblems

R H R H R H R H

160 Rearrange

Graphical Approach to solve multi-stepproblems

R

H

R

H

R

H

R

H

Rearrange160

Graphical Approach to solve multi-stepproblems

H H H

R R R R

H

160 Rearrange

= H H H H H H

Graphical Approach to solve multi-stepproblems

H H H H

160 Rearrange

H H H H H H

Graphical Approach to solve multi-stepproblems

H H H H

160 Rearrange

H

H H H H H

Graphical Approach to solve multi-stepproblems

H H H H

160 Rearrange

H H

H H H H

Graphical Approach to solve multi-stepproblems

H H H H

160 Rearrange

H H H

H H H

Graphical Approach to solve multi-stepproblems

H H H H

160 Rearrange

H H H H

H H

Graphical Approach to solve multi-stepproblems

H H H H

160 Rearrange

H H H HH

H

Graphical Approach to solve multi-stepproblems

H H H H

160 Rearrange

H H H HH H

Graphical Approach to solve multi-stepproblems

160

H H H HH H H HH H

H = 16

Graphical Approach to solve multi-stepproblems

160

H H H HH H H HH H

R H

40H = 16 Boxes

Graphical Approach to solve multi-stepproblems

160

H H H HH H H HH H

R 16

40H = 16

R = 24

Boxes

Graphical Approach to solve multi-stepproblems

160

H H H HH H H HH H

24 16

40H = 16

R = 24

Boxes

Graphical Approach to solve multi-stepproblems

24 16

40

R = 24

R R R R H H H

Cookies = ?

H = 16

Graphical Approach to solve multi-stepproblems

24 16

40

R = 24

24 24 24 24 16 16 16

Cookies = ?

H = 16

Graphical Approach to solve multi-stepproblems

24 16

40

R = 24

24 24 24 24 16 16 16

Cookies = ?

H = 16

144