Question

question 2 12.5 pts a customer purchased 30 flowers for a bouquet. if the number of carnations is 3 less than twice the number of roses, which system of equations can be used to find the number of roses, r, and the number of carnations, c, in the bouquet? c + r = 30 & 2c + r = 3 c + r = 30 & 2c - r = -3 c + r = 30 & c + 2r = 3 c + r = 30 & c - 2r = -3

Explanation:

Step1: Analyze the total number of flowers

The total number of flowers (roses + carnations) is 30. So, the equation is \(c + r=30\).

Step2: Analyze the relationship between carnations and roses

The number of carnations \(c\) is 3 less than twice the number of roses \(r\). Mathematically, \(c = 2r- 3\), which can be rewritten as \(c-2r=-3\).

Answer:

\(c + r = 30\ \&\ c - 2r=-3\) (the fourth option)