A radio-controlled helicopter sells for $20, but needs a lithium battery that costs 25% of that price. A sales tax of 6% will be added to the cost of both items. What is the total cost of the helicopter, battery and tax? Complete the explanation.

Respuesta :

Answer:

The total cost of the helicopter = $26.5

The cost of lithium battery = $5.

The amount of sales tax = $1.5

Step-by-step explanation:

We have been given that a radio-controlled helicopter sells for $20, but needs a lithium battery that costs 25% of that price.

We can find the price of battery by finding 25% of 20.

[tex]\text{The cost of lithium battery}=\frac{25}{100}\times 20[/tex]

[tex]\text{The cost of lithium battery}=\frac{25}{5}[/tex]

[tex]\text{The cost of lithium battery}=5[/tex]

Therefore, the cost of lithium battery is $5.

Now let us find the sales tax on the cost of helicopter and lithium battery.

[tex]\text{Total sales tax}=\frac{6}{100}\times (20+5)[/tex]

[tex]\text{Total sales tax}=0.06\times (25)[/tex]

[tex]\text{Total sales tax}=1.5[/tex]

Therefore, the total sales tax will be $1.5.

We can find the total cost of helicopter by adding the cost of helicopter, cost of lithium battery and total amount of sales tax.

[tex]\text{The total cost of helicopter}=20+5+1.5[/tex]

[tex]\text{The total cost of helicopter}=26.5[/tex]

Therefore, the total cost of helicopter will be $26.5.