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?
Question
Answer:
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 :)
solved
general
10 months ago
3960