A restaurant bills comes to $28.35. Find the total cost, to the nearest cent, if the tax is 6.25% and a 20% tip is left on the amount before tax.

$35.79. I hope this help!!

Step-by-step explanation:

First, we can determine the amount of the tax:

t

=

b

⋅

r

Where:

t

is the amount of the tax.

b

is the amount of the bill - $28.35 for this problem.

r

is the tax rate.

6.25

%

for this problem. Percent or % means per 100 or out of 100. We can write

6.25

%

as

6.25

100

Substituting gives:

t

=

$

28.35

⋅

6.25

100

t

=

$

177.1875

100

t

=

$

1.771875

t

=

$

1.77

Next, we can determine the amount of the tip:

p

=

b

⋅

g

Where:

p

is the amount of the tip.

b

is the amount of the bill - $28.35 for this problem.

g

is the gratuity rate.

20

%

for this problem. Percent or % means per 100 or out of 100. We can write

20

%

as

20

100

Substituting gives:

p

=

$

28.35

⋅

20

100

p

=

$

567.00

100

p

=

$

5.67

Now, we can add the amount of the bill, the tax and tip amounts to find the total cost:

$28.35 + $1.77 + 5.67=$35.79