In a bag of balloons .there are 3 red balloons for every 4 blue balloons .are there more red or more blue balloons in the bag?.how do you know?
well, which is greater -- 3 or 4?
possible cases:
3 red, 4 blue
6 red, 8 blue
30 red, 40 blue
237 red, 316 blue, <---- 237/316 = 3/4 , which is the case for each example
in each case which is more, the blue or the red?
Thanks
To determine whether there are more red or blue balloons in the bag, we need to compare the quantity of each.
Given that there are 3 red balloons for every 4 blue balloons, we can assume that the ratio of red to blue balloons is 3:4.
To proceed, we can choose a specific number of balloons for one of the colors, and then use the ratio to find the corresponding number for the other color. Let's choose a number that is divisible by both 3 and 4, such as 12.
If we say there are 12 blue balloons in the bag, we can calculate the number of red balloons based on the ratio.
For every 4 blue balloons, there are 3 red balloons. So, if there are 12 blue balloons, we can find the number of red balloons by multiplying 12 by the ratio 3/4.
(12 blue balloons) x (3 red balloons / 4 blue balloons) = (9 red balloons)
Therefore, with 12 blue balloons, there are 9 red balloons.
Now we can compare: 12 blue balloons versus 9 red balloons.
Since 12 is greater than 9, there are more blue balloons in the bag than red balloons.