Jose ha encontrado varios insectos. Hay 10 menos saltamontes que grillos. Hay 5 menos grillos que margaritas. Si Jose ha encontrado 5 saltamontes ¿cuantas mariquitas encontró y cuantos grillos? Escribe dos ecuaciones para resolver el problema.

Jose has found several insects. There are 10 less grasshoppers than crickets. There are 5 less crickets than ladybugs. If Jose has found 5 grasshoppers, how many ladybugs did he find and how many crickets? Write two equations to solve the problem.

Let's tag grasshoppers with [tex]g[/tex], crickets with [tex]c[/tex] and ladybugs with [tex]c[/tex].

So, we are tolde there are 10 less grasshoppers than crickets:

[tex]g=c-10[/tex] (1) We have the first equation

Then, we are told there are 5 less crickets than ladybugs:

[tex]c=l-5[/tex] (2) This is the second equation

If [tex]g=5[/tex] and we substitute this in both equations we will have:

[tex]5=c-10[/tex] (3)

Isolating [tex]c[/tex]:

[tex]c=15[/tex] (4) There are 15 crickets

Substituting (4) in (2):

[tex]15=l-5[/tex] (5)

Isolating [tex]l[/tex]:

[tex]l=20[/tex] There are 20 ladybugs

Therefore:

There are 15 crickets and 20 ladybugs