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Hannah works at Blooming Bouquets flower shop. She uses 2 roses for every 5 carnations in the Spring Medley bouquets. Today she will make a Spring Medley bouquet with 16 roses.
How many carnations should Hannah use in the bouquet?

carnations

Hannah works at Blooming Bouquets flower shop. She uses $2$ roses for every $5$ carnations in the Spring Medley bouquets. Today she will make a Spring Medley bouquet with $16$ roses. $\newline$ How many carnations should Hannah use in the bouquet? $\newline$ ______carnations

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Solve proportions: word problems

Full solution

Q. Hannah works at Blooming Bouquets flower shop. She uses

2

roses for every

5

carnations in the Spring Medley bouquets. Today she will make a Spring Medley bouquet with

16

roses.

\newline

How many carnations should Hannah use in the bouquet?

\newline

______carnations

Identify Ratio: Identify the ratio of roses to carnations in the Spring Medley bouquets. Hannah uses $2$ roses for every $5$ carnations.
Determine Sets in Roses: Determine how many sets of roses are in $16$ roses based on the ratio. $\newline$ Since $2$ roses are used for every set, we divide the total number of roses by $2$ to find the number of sets. $\newline$ Number of sets = $16$ roses / $2$ roses per set $\newline$ Number of sets = $8$ sets
Calculate Carnations Needed: Calculate the number of carnations needed for the $8$ sets. $\newline$ Since each set requires $5$ carnations, we multiply the number of sets by $5$ . $\newline$ Number of carnations = $8$ sets $*$ $5$ carnations per set $\newline$ Number of carnations = $40$ carnations

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