Solve this problem. 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 flori…

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asked Feb 21, 2021 161k views

1 Answer

Maniacalrobot · Answer 1 · 2021-02-26T21:16:13+0000

Let roses be R and carnations be C

"in a ratio of 2 to 7" means that the ratio of R to C is 2 to 7, meaning you'll have to cross multiply to translate it algebraically

$R:C\\2:7\\7R=2C\\$

since C = 343 we plug 343 in
7R=2C :

$7R=2(343)\\7R=686\\R=(686)/(7) \\R=98$

ergo, she needs 98 roses

to make sure of the answer:

"ratio of 2 to 7" is technically a fraction =>
(2)/(7)

and since the ratio of the roses to the carnations is the same as
(2)/(7) we plug the values R = 98 and C=343:

(R)/(C)=(98)/(343)=(2)/(7)

check with calculator too, hope i helped <33