The events committee buys 100 flowers for a school dance. the flowers are a combination of carnations and roses. each carnation costs $0.75, and each rose costs $2.75. the committee spends a total of $139, not including tax. how many of each type of flower does the committee buy?

68 carnations and 32 roses.

Step-by-step explanation:

The events committee buys 100 flowers for a school dance.

The flowers are a combination of carnations and roses.

The cost of each carnation = $0.75

The cost of each rose = $2.75

The committee spends a total of = $139

Let the number of carnation be 'c' and number of roses be 'r'.

c + r = 100

r = 100 - c -------------(1)

2.75r + 0.75c = 139     [we will divide the equation by 2.75]

r + 0.272c = 50.55      [ now put the equation (1) in the place of r ]

(100-c) + 0.272c = 50.55 --------------(2)

100 + - c + 0.272c = 50.55

-0.728c + 100 = 50.55

-0.728c = -49.45

c =

c = 67.9 ≈ 68 carnations

r = 100 - c

 = 100 - 68

r = 32

The committee bought 68 carnations and 32 roses.

the expected value of the random variable : 0, 1 and 2

step-by-step explanation: