math mate problem
I have $100 which I wish to buy exactly 100 animals to feed to my snake. succulent mice cost $5, large Juicy fresh cockroaches are $1, and imported flies are $0.05 each .if I spend every cent buying these animals and I buy at least one of each how many cockroaches will I buy?

Respuesta :

The number of co.ck.roaches that one can buy is given as: 95
It is to be noted that this was solved using the knowledge of Algebraic Equations.

What is an Algebraic equation?

An algebraic equation is one where two mathematical statements are equated to one another. See how we arrive at the answer using algebra statements below.

What is the solution to the question?

Let us set the

  • Number of Mice to X
  • Number of Co.ck.roaches to Y; and
  • Number of Flies to Z.

Note that the total money required for the snake's food is thus given as:

X + Y + Z = 100.................................A

5X + Y + 0.05Z = 100  .......................B

To remove the decimals in B, we multiply same both sides of the equation by 20 to get:

100X + 20Y + Z = 2,000   ........................C

Recall that  the number of each animal purchased must ≥ 1

Since we are looking at the number of co.ck.roaches, let us set

X = 1
Z = 1

This gives us:

100 + 20Y + 1 = 2,000

Thus

20Y = 2,000-100-1
Y =  1899/20

Y = 94.95

Hence the answer is approximately 95 co.ckroaches.

Learn more about Algebraic Equations at:
https://brainly.com/question/4344214
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