At an ice cream shop, three flavors are increasing in demand. Last year, banana, pumpkin, and rocky road ice cream made up 13% of total ice cream sales. This year, the same three ice creams made up 18.1% of ice cream sales. The percentage of rocky road sales doubled, the percentage of banana sales increased by 50%, and the percentage pumpkin sales increased by 20%. If the rocky road ice cream had one less percent of sales than the banana ice cream, find out the percentage of ice cream sales each individual ice cream made last year

Banana made=3.22

Pumpkin made=7.86

Rocky road ice cream made=1.89

Step-by-step explanation:

From the question we are told that

1st year sales(banana, pumpkin, and rocky road ice cream)

2nd year sales:

Rocky road sales doubled

Banana sales increased by 50%

Pumpkin sales increased by 20%

Rocky road ice cream had one less percent then banana

Let

Banana =x

Pumpkin=y

Rocky road ice cream=z

Generally the first year equation is given mathematically as

Generally the second year equation is given mathematically as

100% increase in Rocky road ice cream sales()z i.e double

50% increase in banana ice cream sales()x

20% increase in pumpkin(y)

Therefore second year equation is given as

Generally where rocky road ice cream had one less percent of sales than the banana ice cream the equation is given as

Therefore combining the three equations

x+y+z=13

1.5x+1.27y+2z=18.1

1.5x-2z=1

matrix form

Generally the determinant of the first three columns

Solving with Crammers Rule by solving Determinant when;

Column 4 replace column 1

Column 4 replace column 2

Column 4 replace column 3

Therefore x is given my

Therefore y is given my

Therefore z is given my

Therefore

Banana made=3.22

Pumpkin made=7.86

Rocky road ice cream made=1.89

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).