Question

Jessie arranged some bouquets of roses for a charity sale. A big bouquet had 36 stalks of roses and a small bouquet had 12 stalks of roses. She arranged 4 times as many small bouquets of roses as big bouquet of roses. If Jessie arranged 1260 stalks of roses altogether:

a. How many big bouquets of roses did she arrange
b.How many small bouquets of roses did she arrange

Answer 1

Big - 1260/36 35 bouquets
Small - 1260/12 105 bouquets

Answer 2

a) 15 big bouquets

b) 60 small bouquets

Explanation:

We are given the following information:

Number if roses in big bouquet = 36

Number of roses in small bouquet = 12

Let y be the number of big bouquet and x be the number of small bouquets.

We are given that small bouquets are four times the big bouquets.

`x = 4y`

Also, total number of roses used for arrangement = 1260

`36y + 12x =1260`

Putting x = 4y in the above equation, we get,

`36y + 48y = 1260\\84y = 1260\\y =15`

`x = 4* 15 = 60`

Thus, Jessie arranged 60 small bouquets and 15 big bouquets.