From this problem we know that a flower shop is having a sale. We know that the original price of each bouquet a flower's is p dollars. So the amount of money the flower shop earns is given by the number of bouquets it sells times the unit price (p). So here, we need to solve two problems:
Let's find the factors of 18 and 54:
[tex]The factors of 18 are: 1, 2, 3, 6, 9, \mathbf{18} \\ \\ The factors of 54 are: 1, 2, 3, 6, 9, \mathbf{18}, 27, 54[/tex]
So the only common factor is 18, so this is the GCF of 18 and 54. Thus:
[tex]18p-54=18(p-3)[/tex]
Remember we said that the amount of money the flower shop earns is given by the number of bouquets it sells times the unit price (p). In this case, this should earns:
[tex]18p[/tex]
Given that we have a discount we need to have a subtraction. By taking a look at the original expression, we have:
[tex]18p-54[/tex]
So the total discount is $54 but we have 18 bouquets, so the discount per bouquet is given by:
[tex]Discount=\frac{54}{18}=3[/tex]
So the discount per bouquet is $3
