Answer:
The solution to this system of equations is:
- B = 28
- T = 19
Step-by-step explanation:
We are given that Jill has 47 bugs and counts a total 320 legs.
We can concur that by adding the total number of butterflies and the total number of tarantulas, we will get 47 bugs.
We are also told that T is tarantulas and B is butterflies.
Then, we also know that butterflies have 6 legs and tarantulas have 8 legs. So, for every tarantula, we get a multiple of 8 and for butterflies, we get a multiple of 6. This gives us a new equation:
Now, we can set up a system of equation.
Using the first equation, we can solve for B.
Then, we can substitute this value of B into the second equation and solve for T.
Finally, we can substitute this value of T into the first equation to solve for B.
Therefore, the solution to this system of equations is:
- B = 28
- T = 19