jeff finds some bugs. he finds 10 fewer grasshoppers than crickets. he finds 5 few crickets than ladybugs. if jeff finds 5 grasshoppers. how many ladybugs does jeff find? how many crickets does he finds?

Respuesta :

Louli
Answer:
Jeff finds 15 crickets
Jeff finds 20 ladybugs

Explanation:
Assume that the number of grasshoppers is x, the number of crickets is y and the number of ladybugs is z

We are given that:
1- Number of grasshoppers is 10 less than number of crickets.
This means that:
x = y - 10 .............> equation I

2- Number of crickets is 5 less than number of ladybugs.
This means that:
y = z - 5 ..............> equation II

3- Jeff found 5 grasshoppers.

Substitute with value of grasshoppers in equation I to get the number of crickets as follows:
x = y - 10
5 = y - 10
y = 10 + 5
y = 15 crickets

4- Now we know that the number of crickets is 15, substitute with that value in equation II to get the number of ladybugs as follows:
y = z - 5
15 = z - 5
z = 15 + 5
z = 20 ladybugs

Based on the above:
number of crickets is 15
number of ladybugs is 20

Hope this helps :)

Jeff found 15 crickets and 20 ladybugs

Let the number of grasshoppers be x

Let the number of crickets be y

Let the number of ladybugs be z

If Jeff finds 10 fewer grasshoppers than crickets, hence x = y - 10

If he finds 5 few crickets than ladybugs, hence y = z - 5

If jeff finds 5 grasshoppers, hence x = 5

Since x = y - 10

5 = y - 10

y = 5 + 10

y = 15

Similarly since y = z - 5

15 = z - 5

z = 15 + 5

z = 20

This shows that Jeff found 15 crickets and 20 ladybugs

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