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PolarNik [594]
3 years ago
9

The ratio of clown fish to angel fish at a pet store is 5:4. The ratio of angel fish to goldfish is 4:3. There are 60 clown fish

at the pet store:
a. How many angel fish are there?
b. How many goldfish are there?
Mathematics
2 answers:
Eduardwww [97]3 years ago
7 0
48 angel fish
36 goldfish
solong [7]3 years ago
7 0

Answer:

(a)  Angel fish = 48

(b) Goldfish = 36

Step-by-step explanation:

The ratio of clown fish to angel fish at a pet store = 5:4

The ratio of angel fish to goldfish = 4:3

Using these ratios, we conclude that

Clown fish : Angel fish : Goldfish = 5:4:3

Let the number of Clown fish, Angel fish and Goldfish are 5x, 4x and 3x respectively.

There are 60 clown fish at the pet store.

5x=60

Divide both sides by 5.

x=12

The value of x is 12.

Angel fish : 4x=4(12)=48

Goldfish : 3x=3(12)=36

Therefore, the number of angel fish and goldfish are 48 and 36 respectively.

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If you add 12 to my number and then multiply the result by 3, you will get 64 more than two-thirds of my number. Find my number.
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Answer:

The number is 12

Step-by-step explanation:

[] First, let's turn all these words into something mathematical. N will equal "my number"

-><u> If you add 12 to my number</u> and then multiply the result by 3, you will get 64 more than two-thirds of my number.

-> n + 12 <u>and then multiply the result by 3</u>, you will get 64 more than two-thirds of my number.

-> 3(n + 12), you will get 64 more than <u>two-thirds of my number</u>.

-> 3(n + 12) = <u>64 more than</u> \frac{2n}{3}

-> 3(n + 12) = 64 +  \frac{2n}{3}

[] Phew, okay. Now it is something we can solve and less scary;

[Given]

3(n + 12) = 64 +  \frac{2n}{3}

[Distribute]

3n + 36 = 64 +  \frac{2n}{3}

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[Subtract 108 and 2n from both sides]

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Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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