Question

> thank you cure 4. Higher Order Thinking Jeff finds some bugs. He finds 10 fewer grasshoppers than crickets. He finds 5 fewer crickets than ladybugs. If Jeff finds 5 grasshoppers, how many ladybugs does Jeff find? How many crickets does he find? Write two equations to solve the problem.23 thank you cards 4. Higher Order Thinking Jeff finds some bugs. He finds 10 fewer grasshoppers than crickets. He finds 5 fewer crickets than ladybugs. If Jeff finds 5 grasshoppers, how many ladybugs does Jeff find? How many crickets does he find? Write two equations to solve the problem.

Answer 1

15 crickets

10 ladybugs

Step-by-step explanation:

Let
`g` be the number of grasshoppers Jeff finds.

Let
`c` be the number of crickets Jeff finds.

Let
`l` be the number of ladybugs Jeff finds.

`c=g+10\\c=l-5\\`

if
`g=5` then sub that into the first equation.

`c=(5)+10\\\\c=15`

Jeff finds 15 crickets.

`15=l-5\\15-5=l\\l=10`

Jeff finds 10 crickets.

Answer 2

To solve the problem, we can set up two equations based on the relationships between the bugs and solve the system. However, there is no valid solution with the given information.

Step-by-step explanation:

To solve this problem, we can set up two equations to represent the relationships between the different types of bugs. Let's use the variable x to represent the number of ladybugs and y to represent the number of crickets. According to the problem, Jeff finds 10 fewer grasshoppers than crickets, so we can write the equation y = x + 10. Jeff also finds 5 fewer crickets than ladybugs, so we can write the equation y = 5. Now we have a system of two equations that we can solve.

To find the number of ladybugs, we can substitute the value of y in the first equation with 5 and solve for x. So, x + 10 = 5, which means x = 5 - 10 = -5. However, we can't have a negative number of ladybugs, so the solution is not valid.

Therefore, there is no valid solution with the given information. Jeff cannot find 5 grasshoppers.