Sosa received $90 in gift cards to Coffee Crazee and each drink she purchases costs $4.75. Sosa also received $75 in gift cards to Fran's Frappes and each drink she purchases cost $3.25. How many drinks will Sosa have to purchase in order to have the same amount remaining on the gift cards from both shops? * 33

Respuesta :

Answer:

90 -4.75x = 75 -3.25x

90-75= 4.75x-3.25x

x= 10

Step-by-step explanation:

Answer:

10 drinks

Step-by-step explanation:

We can set up an equation to find the amount of drinks needed, x.

[tex]90-4.75x = 75-3.25x[/tex]

Now let’s solve for x by isolating it on one side of the equation.

Subtract 75 from both sides:

[tex]15 - 4.75x = -3.25x[/tex]

Add 3.25x to both sides:

[tex]15-1.5x=0[/tex]

Add 1.5x to both sides:

[tex]15 = 1.5x[/tex]

Divide both sides by 1.5:

[tex]x = 10[/tex]

Hope this helped!