Answer:
$89.70
Step-by-step explanation:
To solve this equation, let's formulate a linear equation.
Let [tex]b[/tex] equal bags of mulch.
Let [tex]t[/tex] equal the total amount.
We know the price of each bag of mulch ($4.98), so we can represent this as:
[tex]4.98b[/tex]
We also know that there's a fee of $15, so we can just represent this as:
[tex]15[/tex]
Let's put these values into an equation:
[tex]t=4.98b+15[/tex]
Now with an equation, we know that she purchases a total of 15 bags, so let's substitute [tex]15[/tex] for [tex]b[/tex]:
[tex]t=4.98(15)+15[/tex]
Multiply:
[tex]t=74.70+15[/tex]
Add:
[tex]t=89.70[/tex]
_
Check your work by substituting the total amount into the initial equation:
[tex]89.70=4.98b+15[/tex]
Subtract [tex]15[/tex] from both sides of the equation:
[tex]74.70=4.98b[/tex]
Divide both sides of the equation by the coefficient of [tex]b[/tex], which is [tex]4.98[/tex]:
[tex]15=b[/tex]
Amber did in fact purchase 15 bags, so we know our total amount is correct!
