Make a bar diagram representing the ratio 3 to 4. Make the first bar with of 3 equal sections and the second one with 4 equal sections. The diagrams together will represent the 28 cans of soda.
Group 1: 12 cans Group 2: 16 cans
Practice makes perfect
We want to divide 28 cans of soda into 2 groups so the ratio of cans in each group is 3 to 4. We can use a bar diagram to help us. First, let's plot two bars representing the ratio 3 to 4. In order to do that, we need to make the first bar with 3 equal sections and the second one with 4 equal sections. The diagrams together will represent the 28 cans of soda. Let's do it!
We want to divide 28 cans of soda into two groups. The two bars represent all 28 cans of soda. There is a total of 7 equal sections between both diagrams. This means that in order find how many cans of soda should be represented by a single section, we need to divide the total number of cans of soda by 7.
28 ÷ 7 = 4
Each section of the bar diagram represents 4 cans of soda. Let's add this information to our diagram.
Finally, each bar represents one group. Therefore, to find the number of cans of soda in each group, we need to multiply the number of cans of soda in each section, 4, by the number of sections in each bar.
Group1: & 4 * 3 = 12
Group2: & 4 * 4 = 16
If we want the ratio to be 3 to 4, we should put 12 cans of soda in the first group and 16 cans of soda in the second group.
