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 larger fish who are
fed 2 grams of food each per day. If Tank B contains
2/3
the number of
fish that Tank A contains, will Lisa ever feed both tanks the same
amount of food?
_______________
foodA=1*A
foodB=2*(2/3 A)
can foodA=foodB
a=4/3 A
Nope cant happen.
Ty
To determine if Lisa will ever feed both tanks the same amount of food, we need to compare the total amount of food being fed to each tank.
Let's start by finding the total amount of food fed to Tank A. We know that each fish in Tank A is fed 1 gram of food per day. Let's assume there are 'x' fish in Tank A.
So, the total amount of food fed to Tank A per day = 1 gram/fish * x fish = x grams/day
Now, let's find the total amount of food fed to Tank B. We know that each fish in Tank B is fed 2 grams of food per day. We are given that Tank B contains 2/3 the number of fish that Tank A contains, so the number of fish in Tank B can be calculated as (2/3) * x.
Therefore, the total amount of food fed to Tank B per day = 2 grams/fish * [(2/3) * x] fish = (4/3) * x grams/day.
Now, we need to determine if the total amount of food fed to Tank A and Tank B will ever be the same.
In order for the total amounts to be equal, we need the equation x grams/day = (4/3) * x grams/day to be true.
Let's solve the equation for 'x':
x = (4/3) * x
3 * x = 4 * x
3x - 4x = 0
-x = 0
From the equation, we find that x = 0.
This means that for any number of fish in Tank A, the total amount of food fed to Tank B will always be greater than the total amount of food fed to Tank A. Therefore, Lisa will never feed both tanks the same amount of food.
To determine if Lisa will ever feed both tanks the same amount of food, we can first find the total amount of food required for each tank and compare them.
Let's start by finding the total amount of food required for Tank A:
Since each smaller fish in Tank A is fed 1 gram of food per day, we need to multiply this by the number of fish in Tank A. Let's assume the number of fish in Tank A is represented by x.
So, the total amount of food required for Tank A is: 1 gram/fish * x fish = x grams.
Now, let's find the total amount of food required for Tank B:
We know that Tank B contains 2/3 the number of fish that Tank A contains. So, the number of fish in Tank B would be 2/3 * x.
Since each larger fish in Tank B is fed 2 grams of food per day, we need to multiply this by the number of fish in Tank B, which is 2/3 * x.
So, the total amount of food required for Tank B is: 2 grams/fish * (2/3 * x) fish = 4/3 * x grams.
Now, we need to compare the total amount of food required for each tank:
We have x grams of food required for Tank A and 4/3 * x grams of food required for Tank B.
To determine if Lisa will ever feed both tanks the same amount of food, we need to find if there is any value of x for which x grams of food equals 4/3 * x grams of food.
By simplifying the equation:
x = 4/3 * x
Multiply both sides by 3 to get rid of the denominator:
3x = 4x
Subtract 3x from both sides:
0 = x
So, for any value of x, the equation remains consistent. This means that the two tanks will never be fed the same amount of food.
Therefore, Lisa will never feed both tanks the same amount of food.