Algebra

posted by .

A quarium has a total of 28 beta fish, piranhas, and turtles. The number of piranhas is 1 more than the number of turtles, and 2 fewer than the number of beta fish. How many beta fish are there in the aquarium?

  • Algebra -

    It's a system of equations problem. Just represent the values with different expressions as they relate.

    givens:

    28 animals total

    number of piranhas = 1 more than turtles

    number of piranhas = 2 less than number of beta fish

    let x = number of piranhas

    piranhas = x

    turtles = x - 1 (there's one less turtle)

    number of beta fish = x + 2 (there are two more beta fish than piranhas)

    now you can put all the expressions together and equate it to the total number of creatures in the tank.

    x + x - 1 + x + 2 = 28

    simplifies to 3x + 1 = 28

    now solve for x

    3x + 1 = 28
    -1 -1
    3x = 27
    /3 /3

    x = 9

    now plug this value in the expression you used to represent the beta fish --
    (x + 2)

    x = 9 so 9 + 2 = 11

    there are 11 beta fish in the aquarium

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    How would you establish this identity: (1+sec(beta))/(sec(beta))=(sin^2(beta))/(1-cos(beta)) on the right, sin^2 = 1-cos^2, that factor to 1-cos * `1+cos, then the denominator makes the entire right side 1+cosB which is 1+1/sec which …
  2. Math

    Use the tagging and recapturing technique to estimate the number of fish in a pond. Suppose 140 fish were captured, tagged, and released. Then 50 fish were recaptured and among them 20 were found to be tagged. Estimate the number of …
  3. Ecology

    Estimate the fish population of Lake Champlain using the Lincoln-Peterson Method. -Number of fish of 1st capture: 60 -Number of fish of 2nd capture: 65 Marked fish in 2nd capture: 10 -Number of fish of 3rd capture: 65 Marked fish in …
  4. Math

    In a fish tank, there are two fewer blue fish than three times the number of yellow fish. If there are 10 blue fish, what is the number of yellow fish(n). Write an equation to solve for n.
  5. Math help plz

    To determine the number of fish in a lake , a conservationist catches 500 fish, tags them, and releases them into the lake. Later, 120 fish are caught and 25 of them are tagged. Estimate the number of fish in the lake.
  6. MATH

    A biologist is recording the loss of fish in a pond. She notes the number of fish, f, in the pond on June 1. On July 1 there were 63 fish in the pond, which is 52 fewer fish that were in the pond on June 1. Which equation represents …
  7. Advanced Algebra

    If a pond can support up to 10, 000 fish, the rate of growth of the fish population is jointly proportional to the number of fish present and the difference between 10, 000 and the number of fish present. The rate of growth is 90 fish …
  8. Math

    Mary has two tanks of fish. If she transfers 15 fish from the larger tank to the smaller tank then the number of fish in the smaller tank will be 5/7 of the number of fish in the large, tank. Given that there are 35 fish in the smaller …
  9. math

    Mary has two tanks of fish. If she transfers 15 fish from the larger tank to the smaller tank then the number of fish in the smaller tank will be 5/7 of the number of fish in the large, tank. Given that there are 35 fish in the smaller …
  10. math

    Mary has two tanks of fish. If she transfers 15 fish from the larger tank to the smaller tank then the number of fish in the smaller tank will be 5/7 of the number of fish in the large, tank. Given that there are 35 fish in the smaller …

More Similar Questions