Question

You and a classmate have a bug collection for science class. You find 5 out of every 9 bugs in the collection. You find 4 more bugs than your classmate. How many bugs are in the collection?

Answer 1

Answer:

The total number of bugs in the collection is 36

Step-by-step explanation:

Let

x -----> the number of bugs that you find out

y ----> the number of bugs that the classmate find out

we know that

$\frac{x}{y+x} =\frac{5}{9}$  -----> equation A

$x=y+4$ ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (20,16)

The total number of bugs in the collection is

$(20+16)=36\ bugs$