Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

one-third of the fish in Liam's fish tank were added today. Half of the other fish were a gift to Liam last week. the other 9 came from Liam's old fish tank. How many fish are in the tank? What is the difference between the number of fish Liam had in his old tank and the number he has now?

Sagot :

Nerdyfruit
There are 54 fish in the tank. The difference between the fish he had and the fish he has now is 45 fish. 1/3=2/6 1/2=3/6. I converted so there is a common denominator. 2/6+3/6=5/6. That leaves 9 fish. 9 fish is 1/6. So if I multiply 9 by 5 that gives me the rest of the fish, which is 45. Then, I add that together to get 54.
aachen

Answer: Total fish are 27, difference is 18

Step-by-step explanation:

Given: one-third of the fish in Liam's fish tank were added today. Half of the other fish were a gift to Liam last week. the other 9 came from Liam's old fish tank.

To Find: Number of the fish in the tank, difference between the number of fish Liam had in his old tank and the number he has now.

Solution: Let the total fish in tank be = x

total fish  added today   =   [tex]\frac{1}{3}\times \text{x}[/tex]

Total fish left =   [tex]\text{x}-\frac{1}{3}\text{x}[/tex]= [tex]\frac{2}{3}\text{x}[/tex]

Fish gifted to him last week = [tex]\frac{1}{2}\times\frac{2}{3}\times \text{x}[/tex]

                                               = [tex]\frac{1}{3}\text{x}[/tex]

Fish left    = [tex]\frac{2}{3}\text{x}[/tex] - [tex]\frac{1}{3}\text{x}[/tex]

                   [tex]\frac{1}{3}\text{x}[/tex]

now,

fish left in the tank are =[tex]\frac{1}{3}\text{x}[/tex]

fish from liam's old tank = 9 = fish left in the tank

                   [tex]\frac{1}{3}\text{x}[/tex] = 9

                   [tex]\text{x}[/tex]=[tex]27[/tex]

Total fish in liam's new tank= [tex]27[/tex]

difference between the number of fish Liam had in his old tank and the number he has now

                                = [tex]27-9=18[/tex]

Total Fish in Liam's new tank are 27 and  difference between the number of fish Liam had in his old tank and the number he has now is 18.

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.