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

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