One number is 4 more than another. The difference between their squares is 56. What are the numbers?
2 answers:
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Answer:
Step-by-step explanation:
Given
Represent Goldfish with g and hermit crabs with h.
The first statement, we have:
The second statement, we have:
Required
Determine the selling price of 6 goldfish and 4 hermit crabs
The equations are:
--- (1)
--- (2)
Make g the subject in (2)
Divide both sides by 4
Substitute for g in (1)
Multiply through by 4
Open bracket
Collect Like Terms
Make h the subject
Substitute 4 for h in
This implies that:
1 goldfish = $2
1 hermit crab = $4
The cost of 6 goldfish and 4 hermit crabs is: