To find the missing values, we first need to determine the ratio of blue squares to green squares using the diagram.
Step 1: Find the ratio from the diagram
* Count the
Blue squares: There are
3.
* Count the
Green squares: There are
5.
* So, the ratio of Blue to Green is
3 : 5. This means for every 3 blue squares, there are 5 green squares.
Step 2: Solve for Quilt A
* The table shows that Quilt A has
21 Blue squares.
* To get from the ratio number (3) to the actual number (21), we multiply by 7 (because $3 \times 7 = 21$).
* We must do the same for the Green squares to keep the ratio equal.
* Multiply the Green ratio number (5) by 7:
$$5 \times 7 = 35$$
* So, Quilt A has
35 Green squares.
Step 3: Solve for Quilt B
* The table shows that Quilt B has
20 Green squares.
* To get from the ratio number (5) to the actual number (20), we multiply by 4 (because $5 \times 4 = 20$).
* We must do the same for the Blue squares.
* Multiply the Blue ratio number (3) by 4:
$$3 \times 4 = 12$$
* So, Quilt B has
12 Blue squares.
Final Answer:
The missing value for Green in Quilt A is
35.
The missing value for Blue in Quilt B is
12.
Parent Tip: Review the logic above to help your child master the concept of ratio tape diagram worksheet.
