How many bouquets in the ratio 3 red: 4 white did Kermit give Miss Piggy if * she received 56 total roses?
To find the number of bouquets, we need to determine the number of red roses and the number of white roses in the ratio.
Let's assume the ratio 3 red: 4 white be represented by the variables x and y respectively.
According to the given information, the total number of roses is 56.
So we can form the equation: 3x + 4y = 56.
To find the possible values of x and y, we need to find integer solutions for this equation.
We can start by finding the value of x when y = 0:
3x + 4(0) = 56
3x = 56
x = 56 / 3, which is not an integer.
Next, we find the value of y when x = 0:
3(0) + 4y = 56
4y = 56
y = 56 / 4 = 14.
This means that if Kermit gave Miss Piggy bouquets in this ratio, he would have given her one bouquet with 4 white roses.
To find the number of bouquets, we divide the total number of roses by the number of white roses in each bouquet:
Total bouquets = Total number of roses / Number of white roses in each bouquet
Total bouquets = 56 / 4 = 14.
Therefore, Kermit gave Miss Piggy 14 bouquets.