A Florist Is Creating 10 Centerpieces for the Tables at a Wedding

question 57

Multiple Choice

A florist is creating 10 centerpieces for the tables at a wedding reception.Roses cost $2.50 each,lilies cost $8 each,and irises cost $4 each.The customer has a budget of $300 allocated for the centerpieces and wants each centerpiece to contain 12 flowers,with twice as many roses as the number of irises and lilies combined. ​
Write a system of linear equations that represents the situation.
​

• A) \[\left\{ \begin{array} { l l }
• 2.5 r - 8 l - 4 i & = 300 \\
• - r - 2 l - 2 i & = 0 \\
• r - l - i & = 120
• \end{array} \right.\]
• B)​ \[\left\{ \begin{array} { l l }
• 2.5 r + 8 l + 4 i & = 300 \\
• r + 2 l + 2 i & = 0 \\
• r + l + i & = 120
• \end{array} \right.\]
• C)​ \[\left\{ \begin{array} { l l }
• 2.5 r + 8 l + 4 i & = 300 \\
• - r + 2 l + 2 i & = 0 \\
• r + l + i & = 120
• \end{array} \right.\]
• D)​ \[\left\{ \begin{array} { l l }
• 2.5 r - 8 l + 4 i & = 300 \\
• - r + 2 l + 2 i & = 0 \\
• r + l + i & = 120
• \end{array} \right.\]
• E)​ \[\left\{ \begin{array} { l l }
• 2.5 r + 8 l - 4 i & = 300 \\
• - r + 2 l + 2 i & = 0 \\
• r + l + i & = 120
• \end{array} \right.\]

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Definitions:

Deductive Reasoning

A logical process where a conclusion is based on the concordance of multiple premises that are generally assumed to be true.

Specific Observations

are detailed and focused observations that are made to gather information about a particular, narrowly defined subject or phenomenon.

DNA Molecule

The molecule carrying genetic instructions for the development, functioning, growth, and reproduction of all known living organisms and many viruses.

Nucleotides

The basic building blocks of nucleic acids (DNA and RNA), composed of a sugar, a phosphate group, and a nitrogenous base.