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Ann has an empty cup and add 1 ounce of water per second. Bob has 12 ounces of water and drinks 2 ounces per second. After how many seconds will they have the same amount of water

Respuesta :

samuelonum1

Answer:

4 seconds

Step-by-step explanation:

Given

Ann has an empty cup and add 1 ounce of water per second

let the number of seconds required to fill the cup be x

let the total be y

in x seconds Ann will have x ounces of water in the cup.

so the total amount of water in Ann's cup will be

[tex]y=x-----------1[/tex]

Bob has 12 ounces of water and drinks 2 ounces per second

also, let the number of seconds required to empty the cup be x

let the total be y

[tex]y= 12-2x--------------2[/tex]

Step two:

equate the two equations above and solve for x

[tex]x=12-2x[/tex]

collect like terms

[tex]x+2x=12\\\\3x=12[/tex]

divide both sides by 3

[tex]x=12/3\\\\x= 4 seconds[/tex]

Therefore, after about 4 seconds Ann and Bob's cup will have the same amount of water

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