Final answer:
To find out the percentage of ice cream sales each individual ice cream made last year, you need to solve a system of equations. Unfortunately, based on the given information, an accurate solution cannot be obtained as it gives negative percentages for one of the ice cream flavors. Please recheck the data provided and make necessary corrections.
Step-by-step explanation:
To find out the percentage of ice cream sales each individual ice cream made last year, we need to solve a system of equations.
Let's assume that the total ice cream sales last year is represented by the variable T.
Let B, P, and R represent the percentage of banana, pumpkin, and rocky road ice cream sales last year respectively.
From the given information, we have the following equations:
B + P + R = 13% (equation 1)
B∠ + 1.5B + 2(R-1) = 18.1% (equation 2)
Let's solve this system of equations:
From equation 1, we can express R in terms of B and P:
R = 13% - B - P
Substituting this into equation 2:
B + 1.5B + 2(13% - B - P - 1) = 18.1%
Combining like terms:
2B - 2P + 2.6 = 18.1%
2B - 2P = 18.1% - 2.6
2B - 2P = 15.5%
Dividing by 2:
B - P = 7.75%
From here, we can express P in terms of B:
P = B - 7.75%
Substituting this back into equation 1:
B + B - 7.75% + R = 13%
Combining like terms:
2B + R = 20.75%
Since we know that R = 13% - B - P, we can substitute this again:
2B + 13% - B - B + 7.75% = 20.75%
Combining like terms:
2B - 2B = 20.75% - 13% - 7.75%
0B = 0%
Therefore, B = 0%
Substituting this back into the equation R = 13% - B - P:
R = 13% - 0% - P
R = 13% - P
And since R has one less percent of sales than B, we can write:
P = B - 1%
Substituting B = 0%:
P = 0% - 1% = -1%
However, a negative percentage does not make sense, so we need to reconsider our assumptions and calculations.