Question

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.

Answer 1

Answer: There are 5 grasshoppers, 15 crickets and 20 ladybugs

Step-by-step explanation:

The question in english is:

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 $g$, crickets with $c$ and ladybugs with $c$.

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

$g=c-10$ (1) We have the first equation

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

$c=l-5$ (2) This is the second equation

If $g=5$ and we substitute this in both equations we will have:

$5=c-10$ (3)

Isolating $c$:

$c=15$ (4) There are 15 crickets

Substituting (4) in (2):

$15=l-5$ (5)

Isolating $l$:

$l=20$ There are 20 ladybugs

Therefore:

There are 15 crickets and 20 ladybugs