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worty [1.4K]
2 years ago
6

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.
Mathematics
1 answer:
ioda2 years ago
3 0

Answer: 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

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After simplifying, which expressions are equivalent? Select three options.
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Step-by-step explanation:

In order to solve this exercise it is important to remember the multiplication of signs:

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Answer:

Correct answer is:

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Step-by-step explanation:

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