Question

1 2 . T h e r a t i o o f c l o w n f i s h t o a n g e l f i s h a t a p e t s t o r e i s 5 : 4 . T h e r a t i o o f angelfish to goldfish is 4:3. There are 60 clown fish at the pet store. A . H o w m a n y a n g e l f i s h a r e t h e r e ? _________________ b . H o w m a n y g o l d f i s h a r e t h e r e ? ________

Answer 1

A. Angel fish = 48

B. Gold fish = 36

Explanation:

Clown fish : angel fish = 5 : 4

Angel fish : gold fish = 4 : 3

Clown fish = 60

A. How many angel fish are there

Let x = number of angel fish there

Clown fish : angel fish = 5 : 4

Clown fish : angel fish = 60 : x

Equate the ratios

5 : 4 = 60 : x

5/4 = 60/x

Cross product

5 * x = 4 * 60

5x = 240

x = 240/5

= 48

x = 48

Angel fish = 48

B. How many gold fish are there

Let

y = number of gold fish there

Angel fish : gold fish = 48 : y

Angel fish : gold fish = 4 : 3

Equate both ratios

48 : y = 4 : 3

48/y = 4/3

Cross product

48 * 3 = y * 4

144 = 4y

y = 144/4

= 36

y = 36

Gold fish = 36