Question

The local garden store sells bags of mulch for $4.98 each and will deliver the bags for a fee of $15 if Amber purchases 15 bags and has them delivered what is the total amount that Amber will pay?

Answer 1

$89.70

Explanation:

To solve this equation, let's formulate a linear equation.

Let
`b` equal bags of mulch.

Let
`t` equal the total amount.

We know the price of each bag of mulch ($4.98), so we can represent this as:

`4.98b`

We also know that there's a fee of $15, so we can just represent this as:

`15`

Let's put these values into an equation:

`t=4.98b+15`

Now with an equation, we know that she purchases a total of 15 bags, so let's substitute
`15` for
`b`:

`t=4.98(15)+15`

Multiply:

`t=74.70+15`

Add:

`t=89.70`

_

Check your work by substituting the total amount into the initial equation:

`89.70=4.98b+15`

Subtract
`15` from both sides of the equation:

`74.70=4.98b`

Divide both sides of the equation by the coefficient of
`b`, which is
`4.98`:

`15=b`

Amber did in fact purchase 15 bags, so we know our total amount is correct!