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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?

Respuesta :

calculista

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

[tex]\frac{x}{y+x} =\frac{5}{9}[/tex]  -----> equation A

[tex]x=y+4[/tex] ----> 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

[tex](20+16)=36\ bugs[/tex]

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