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Math  /  Numbers & Operations

QuestionA shopping amount cost $26\$ 26 and sales tax 6. $2.25\$ 2.25 was added to the bill, whal pertestage is the tax rate?
A ticket cost $55\$ 55 and sales tax of $1.15\$ 1.15 was added to the bill, what percentage is the tax rate?

Studdy Solution

STEP 1

1. The cost of the shopping amount is $26 \$26 .
2. The sales tax added to the shopping bill is $2.25 \$2.25 .
3. The cost of the ticket is $55 \$55 .
4. The sales tax added to the ticket bill is $1.15 \$1.15 .
5. We need to find the percentage tax rate for both the shopping amount and the ticket.

STEP 2

1. Calculate the tax rate for the shopping amount.
2. Calculate the tax rate for the ticket.

STEP 3

For the shopping amount, let r r be the tax rate expressed as a decimal. The tax amount is given by multiplying the tax rate by the original cost.
Tax Amount=r×Original Cost \text{Tax Amount} = r \times \text{Original Cost}

STEP 4

Substitute the known values into the equation for the shopping amount.
2.25=r×26 2.25 = r \times 26

STEP 5

Solve for r r by dividing both sides by 26 26 .
r=2.2526 r = \frac{2.25}{26}

STEP 6

Calculate r r and convert it to a percentage by multiplying by 100 100 .
r=2.2526≈0.0865 r = \frac{2.25}{26} \approx 0.0865 Tax Rate=0.0865×100≈8.65% \text{Tax Rate} = 0.0865 \times 100 \approx 8.65\%

STEP 7

For the ticket, let r r be the tax rate expressed as a decimal. The tax amount is given by multiplying the tax rate by the original cost.
Tax Amount=r×Original Cost \text{Tax Amount} = r \times \text{Original Cost}

STEP 8

Substitute the known values into the equation for the ticket.
1.15=r×55 1.15 = r \times 55

STEP 9

Solve for r r by dividing both sides by 55 55 .
r=1.1555 r = \frac{1.15}{55}

STEP 10

Calculate r r and convert it to a percentage by multiplying by 100 100 .
r=1.1555≈0.0209 r = \frac{1.15}{55} \approx 0.0209 Tax Rate=0.0209×100≈2.09% \text{Tax Rate} = 0.0209 \times 100 \approx 2.09\%
The tax rate for the shopping amount is approximately 8.65% 8.65\% and for the ticket is approximately 2.09% 2.09\% .

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