Question

Jennifer bought some tulips, lilies, and roses to make bouquets. She bought the same number of tulips as lilies. She bought three more roses than tulips and lilies combined. She paid 18 cents for each tulip. The lilies were 27 cents per flower, and the roses cost 55 cents each. How many of each kind of flower did Jennifer buy if she paid $17.15 in all?

Answer 1

z = 18.5

y = 15.5

x = 15.5

Explanation:

Let

tulips = x

lilies = y

roses = z

x = y

z= x + 3 or y + 3

The equation is

0.18x + 0.27y + 0.55z = 17.15

Substitute x = y and z = y + 3 into the equation

0.18y + 0.27y + 0.55(y + 3) = 17.15

0.18y + 0.27y + 0.55y + 1.65 = 17.15

y = 17.15 - 1.65

= 15.5

x = y

x = 15.5

z = x + 3

= 15.5 + 3

= 18.5

Therefore,

z = 18.5

y = 15.5

x = 15.5