SOLUTION: Paula wants to add some more tropical fish to her aquarium. She wants to buy some blue gouramis, which cost $2.50 each, and some clown loaches, which cost $5.50 each. She has room

Question 1189823: Paula wants to add some more tropical fish to her aquarium. She wants to buy some blue gouramis, which cost $2.50 each, and some clown loaches, which cost $5.50 each. She has room for only 6 more fish, and she has $24.00 to spend. How many of each kind of fish can she buy?
Let the number of blue gouramis be represented by b and the number of clown loaches is represented by c. Write the two equations for the system. The first equation will deal with the number of fish. The second one will deal with cost.
Use substitution to solve for c in the first equation.
She will be able to buy _____ blue gouramis and _____ clown loaches
Check your solution by substituting that values into both equation
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
Paula wants to add some more tropical fish to her aquarium. She wants to buy some blue gouramis, which cost $2.50 each, and some clown loaches, which cost $5.50 each. She has room for only 6 more fish, and she has $24.00 to spend. How many of each kind of fish can she buy?
Let the number of blue gouramis be represented by b and the number of clown loaches is represented by c. Write the two equations for the system.
Use substitution to solve for c in the first equation.

The first equation will deal with the number of fish.
b+c=6..........................................................1
The second one will deal with cost.
2.50b+5.50 c = 24.......................................2
Rearrange make b the subject
2.50b = 24-5.50c
b = (24-5.50c)/2.50
substitute b in
b+c =6
(24-5.50c)/2.50 +c = 6
multiply equation by 2.50
(24-5.50c)+2.50c =2.50*6
24-5.5c +2.50c = 15.00
Add like terms and rearrange
-2c = -6
c = 3
we know b+c =6
Therefore b=3
She will be able to buy 3 blue gouramis and 3 clown loaches
Check
3*2.50+3*5.50 = 24

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