Answer:
The price of the drink is $1.25.
Step-by-step explanation:
Given:
Otis has a salad for $4.50, a sandwich for $6.25, and a drink. The tax for the entire meal was $0.54.
The meal tax is 4.5%.
Now, to find the price of the drink.
Let the price of the drink be [tex]x.[/tex]
Price of salad = $4.50.
Price of sandwich = $6.25.
So, to get the total price of the entire meal:
[tex]4.50+6.25+x[/tex]
[tex]=10.75+x[/tex]
The tax for the entire meal was $0.54.
The meal tax = 4.5%.
Now, to get the price of the drink:
[tex](10.75+x)\times4.5\%=0.54[/tex]
[tex](10.75+x)\times \frac{4.5}{100} =0.54[/tex]
[tex](10.75+x)\times 0.045=0.54[/tex]
Dividing both sides by 0.045 we get:
[tex]10.75+x=12[/tex]
Subtracting both sides by 10.75 we get:
[tex]x=\$1.25.[/tex]
Therefore, the price of the drink is $1.25.
