Question

Daisy's Flowers sell a rose bouquet for $39.95 plus $2.95 for every rose. A competing florist sells a similar bouquet for $26.00 plus $4.50 for every rose. Find the number of roses that would make both florists' bouquets cost the same price.

Answer 1

Answer:

9 roses

Step-by-step explanation:

Step one:

given data

For Daisy's Flowers

the cost is $39.95

an additional $2.95 for every rose

let the number of rose be x

the linear model for the cost is

y=39.95+2.95x-----------1

Step two

For  the competing florist  

the cost is $26

an additional $4.5 for every rose

let the number of rose be x

the linear model for the cost is

y=26+4.5x------------2

Step three:

equating the two above equations to find the number of roses x

we have

39.95+2.95x=26+4.5x

solve for x

39.95-26=4.5x-2.95x

13.95=1.55x

divide both sides by 1.55

x=13.95/1.55

x=9

Hence the number of roses that would make both florists' bouquets cost the same price is 9 roses