Chloe is planning an event and purchasing floral arrangements. At Petals Plus, the arrangements cost $35.85 each, and the store charges $67.00 for delivery of the flowers to the event site. At Blooms, the arrangements cost $25.09 each, and the store charges $118.00 for delivery of the flowers to the event site.How many arrangements should she purchase from Blooms in order to get a better value? A. 3 B. 1 C. 5 D. 4

Respuesta :

Petals Plus.

Each arrangement costs $35.85, plus $67.00 for delivery.

This can be expressed as

[tex]35.85a+67[/tex]

Where a represents the arrangements.

Blooms.

Each arrangement costs $25.09, plus $118.00 for delivery.

[tex]25.09a+118[/tex]

Where a represents the arrangements.

Now, we have to form an expression to relate both expressions.

[tex]35.85a+67<25.09a+118[/tex]

This expression will give us the number of arrangements needed to get a better offer from Blooms.-

[tex]\begin{gathered} 35.85a-25.09a<118-67 \\ 10.76a<51 \\ a<\frac{51}{10.76} \\ a<4.74 \end{gathered}[/tex]

Notice that we have to get less than 4.74 arrangements to get a better deal with Blooms.

Therefore, the right answer is D. 4.

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