Answer:
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.
Explanation: