How do you divide 33 into 2 groups so the ratio is 4 to 7

4x + 7x = 33

To divide 33 into 2 groups with a ratio of 4 to 7, you need to determine the total number of parts and assign the appropriate number of parts to each group. Here's how you can do it:

Step 1: Calculate the total number of parts. Add the individual parts of the ratio together, so the total number of parts in your case is 4 + 7 = 11.

Step 2: Determine the size of each part. Divide the total quantity (33) by the total number of parts (11) to find the size of each part. In this case, each part would be 33 / 11 = 3.

Step 3: Multiply the size of each part by the respective ratio values to get the quantity assigned to each group. Multiply the size of each part (3) by the first ratio value (4) to allocate the quantity for the first group: 3 * 4 = 12. Similarly, multiply the size of each part by the second ratio value (7) to assign the quantity to the second group: 3 * 7 = 21.

So, if you divide 33 into 2 groups with a ratio of 4 to 7, the first group would have 12 units, and the second group would have 21 units.

3 * 4 = 12

3 * 7 = 21

12/21