Question

"A bag contains 150 marbles. Some are blue, and the rest are white. There are 21 blue marbles for every 4 white marbles. What is the best strategy (double number line, table, or tape diagram) to use for this problem? Use the strategy to show your reasoning."

What is the best strategy to use for solving this problem, and why?

a) Double number line
b) Table
c) Tape diagram
d) All strategies are equally suitable.

Answer 1

The best strategy to use for this problem is the double number line.

Step-by-step explanation:

The best strategy to use for this problem is the double number line. A double number line is a visual representation that shows the relationship between two quantities. In this case, we can use a double number line to represent the relationship between the number of blue marbles and the number of white marbles.

To create a double number line, draw a horizontal line and label one end 'Blue' and the other end 'White'. Then, mark off equal intervals on the line to represent the number of blue and white marbles. In this case, we can label the intervals on the Blue side as 21, 42, 63, and so on, and the intervals on the White side as 4, 8, 12, and so on.

By using a double number line, we can easily compare the number of blue marbles to the number of white marbles and solve the problem.