A florist sells holiday bouquets that use roses and carnations in a ratio of 2 to 7. She receives a shipment of 343 carnations. How many roses will the florist need?

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Answer 1 · 2016-04-14T00:44:40

#98# roses

If there is a ratio of #2:7# representing the number of roses to carnations respectively, then start by setting up an algebraic equation.

Let #x# represent the number of roses.

#2/7=x/343#

Solve for #x#.

#x=343(2/7)#

Since #343# and #7# can be divided by a common factor of #7#, their values are reduced.

#x=(343color(red)(-:7))(2/(7color(red)(-:7)))#

#x=49(2/1)#

#x=98#

#:.#, the florist needs #98# roses.