Question

Aiko buys a bouquet of 12

flowers from a floral shop.
Some of the flowers in his bouquet are roses, which cost $2.60
each, and some are asters, which cost $1.20
each.
Altogether, Aiko's bouquet costs exactly $20
.

Complete the table and write a system of equations to represent the number of each type of flower in Aiko's bouquet.

Answer 1

To Begin, we would need to determine the number fo the roses and the asters that are in Aiko's Bouquet

So for example, Let's assume the number of roses will be represented by 'x' AND the number of asters would just be represented by 'y'

Based on the given information shown:

1: Roses cost $2.60 each, so the cost of roses in the bouquet will be 2.60x.

2: Asters cost $1.20 each, so the cost of asters in the bouquet will be 1.20y.

3: The total cost of the bouquet is $20.

Now we would be able to complete the table with the information given

(im not sure if this table would look right on phone so recommended on a desktop device)

Flower Type Number of Flowers Cost per Flower Total Cost

Roses x $2.60 2.60x

Asters y $1.20 1.20y

Total 12 $20

Now that we have created the table, we can create the following system of the equations

The total number of flowers are 12, which is x+y = 12

The total cost of the bouquet alone is $20, which is 2.60x + 1.20y = 20

These equation would be able to represent the number of each type of flowers that would be shown in Aiko's Bouquet

(this took me forever to write oh my gosh)