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?
Accepted Solution
A:
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