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 be 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.

she can buy 3 Blue Gouramis and 3 Clown Loaches.

Step-by-step explanation:

Let b represent the number of Blue Gouramis that she can buy.

Let c represent the number of Clown Loaches that she can buy.

She has room for only 6 more fishes. It means that

b + c = 6

She wants to buy some Blue Gouramis, which cost $2.50 each, and some Clown Loaches, which cost $5.50 each. She has $24.00 to spend. It means that

2.5b + 5.5c = 24- - - - - - - - - - - -1

Substituting b = 6 - c into equation 1, it becomes

2.5(6 - c) + 5.5c = 24

15 - 2.5c + 5.5c = 24

- 2.5c + 5.5c = 24 - 15

3c = 9

c = 9/3 = 3

b = 6 - c = 6 - 3

b = 3

step-by-step explanation:

sas (side angle side)

aa(angle angle)

sss(side side side)

sas you have to find two sides with an angle in between

aa you find two angles because it will always add up to 180

sss find all sides

step-by-step explanation: