Question

The ratio of clownfish to angelfish at a pet store is 5:4 the ratio of angelfish to goldfish is 4:3 there are 60 clownfish at the pet store .

Answer 1

So if there are 60 clownfish and the ratio from clownfish to angelfish is 5:4, this is the equation you are looking at:
5:4 = 60:? 
To find ? you have to do 60 divided by 5 which equals 12 and multiply it times 4 to see how many angelfish there will be if there are 60 clownfish.
12 x 4 = 48
So if there are 60 clownfish there will be 48 angelfish. The ratio is 60:48


For the next one, same thing if there are 48 angelfish, then you are looking at this equation: 
4:3 = 48:? 
Again, we solve like we did the last one. 
48 divided by 4= 12
3 x 12= 36
So, if there are 48 angelfish there will be 36 goldfish. The ratio is 48:36 
I hope this helps:)

Answer 2

The number of angelfish and goldfish are required.

The number of angelfish is 48 and goldfish is 36.

The ratio of clownfish to angelfish is

$\dfrac{c}{a}=\dfrac{5}{4}$

Ratio of angelfish to goldfish is

$\dfrac{a}{g}=\dfrac{4}{3}$

Number of clownfish is $c=60$

From the given ratios

$\dfrac{60}{a}=\dfrac{5}{4}\\\Rightarrow a=\dfrac{60\times 4}{5}\\\Rightarrow a=48$

$\dfrac{48}{g}=\dfrac{4}{3}\\\Rightarrow g=\dfrac{48\times 3}{4}\\\Rightarrow g=36$

The number of angelfish is 48 and goldfish is 36.

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