Eddie went to Luke Base Air Force Show and brought $55 with him to spend. If admission cost him $5 and sodas were $6.25 each, what is the GREATEST number of sodas, x, Eddie can buy? USE x AS VARIABLE; NO SPACES.

Respuesta :

Answer:

8

Step-by-step explanation:

Given that:

Eddie has gone to Luke Base Air Force Show.

Total money available with Eddie = $55

Admission cost = $5

Cost of each soda = $6.25

To find:

The greatest number of sodas that can be bought by Eddie ?

Solution:

Let the greatest number of sodas that can be bought by Eddie = [tex]x[/tex]

Now, the total money spent by Eddie will be equal to the admission fee and the cost for buying the [tex]x[/tex] number of sodas.

Cost for [tex]x[/tex] number of sodas = Cost of one soda multiplied by [tex]x[/tex] = $6.25 [tex]\times x[/tex]

Writing equation as per given statement:

Total money = $55

[tex]55 = 5 +6.25x\\\Rightarrow 6.25x = 55-5\\\Rightarrow 6.25x = 50\\\Rightarrow x = \dfrac{50}{6.25}\\\Rightarrow \bold{x = 8}[/tex]

Therefore, a maximum of 8 number of sodas can be bought.