Charles bought lunch at Loopy Lunch Shack. He bought one burger for $(3x+0.05), an order of fries for $(x) and a drink for $(x+0.10). How much did Charles pay for the drink if his total cost is $7.50.

Respuesta :

The drink is calculated by solving for x:
[tex]3x + 0.05 + x + x + 0.10 = 7.50 \\ 5x + 0.15 = 7.50 \\ 5x = 7.35 \\ x = \frac{7.35}{5} \\ x = 1.47[/tex]
drink = x+0.10
drink = $1.57

You can use the total cost given and the cost for each item given to make an equation. Solving it will give value of x which will help to get  the price of the drink.

The price that Charles paid for the drink was $1.57

How to calculate the value of unknown quantity?

Since the unknown quantity is x, and we have to get the value of x, so will will use the information provided about the total cost to form an equation.

Total cost = Cost of burger + Cost of drink + Cost of fries

[tex]7.50 = (3x + 0.05) + ( x+ 0.10) + x\\\\7.5 = (3 + 1 + 1)x + 0.15 \: \: \text{(Coefficients got added of like terms)}\\\\7.5 = 5x + 0.15\\\\\text{Subtracting 0.15 on both sides and then dividing both sides by 5}\\\\\dfrac{7.5 - 0.15}{5} = \dfrac{5x}{5}\\\\1.47 = x\\\\x= 1.47[/tex]

Thus,

As the cost of the drink was $(x + 0.10) which thus, was $(1.47 + 0.10) = $1.57

( Remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in [tex]2 \times x = 2x[/tex] )

Thus,

The price that Charles paid for the drink was $1.57

Learn more about forming equations here:

https://brainly.com/question/12279939