What values will complete this table to show direct variation? Help! And quick!!!
2 answers:
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Answer: There are 5 grasshoppers, 15 crickets and 20 ladybugs
Step-by-step 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 , crickets with
and ladybugs with
.
So, we are tolde there are 10 less grasshoppers than crickets:
(1) We have the first equation
Then, we are told there are 5 less crickets than ladybugs:
(2) This is the second equation
If and we substitute this in both equations we will have:
(3)
Isolating :
(4) There are 15 crickets
Substituting (4) in (2):
(5)
Isolating :
There are 20 ladybugs
Therefore:
There are 15 crickets and 20 ladybugs