Lisa's pet shop has 2 fish tanks.Tank A contains smaller fish who are fed 1 gram of food each per day.Tank B contains 2/3 the number of fish that Tank A contains,Will Lisa ever feed both tanks the same amount of food?

Respuesta :

Answer:

Lisa will not be able to feed both tanks the same amount of food.

Step-by-step explanation:

This question is incomplete, here is the complete question :

"Lisa pet shop has 2 fish tank . Tank A contains smaller fish who were fed 1 gram of food each per day. Tank B contains larger fish who are fed 2 gram each per day. If tank B contains 2/3 the number of fish Tank A contains,will Lisa ever feed both tanks the same amount of food."

Let the number of fish in tank A = f

Lisa fed 1 gram of food each per day  = f × 1 = f

So,the number of fish in tank B =  [tex]\frac{2}{3}f[/tex]

Lisa fed 2 gram of food each per day = [tex]\frac{2}{3}f\times 2[/tex]

If both the tanks are fed with same amount of food then

[tex]f=\frac{2f}{3}\times 2[/tex]

[tex]f=\frac{4f}{3}[/tex]

⇒ 3f = 4f

⇒ 3 = 4

But 3 ≠ 4

Therefore, Lisa will not be able to feed both tanks the same amount of food.