A pet shop sells guinea pigs and goldfish. The ratio of guinea pigs to goldfish is 20:28
a) Give this ratio in its simplest form
b) The shop has a total of 120 guinea pigs and fish.
Work out the number of guinea pigs the shop has.

Explanation:

From the question, we are told that a pet shop sells guinea pigs and goldfish and that the ratio of guinea pigs to goldfish is 20:28.

a) Give this ratio in its simplest form.

The ratio of guinea pigs to goldfish is 20:28. The highest common factor to 20 and 28 is 4. Therefore 20 = 4 × 5 and 28 = 4 × 7. So, the ratio in its simplest form will be 5:7.

b. The shop has a total of 120 guinea pigs and fish. Work out the number of guinea pigs the shop has.

The ratio of guinea pig and goldfish is 5:7. If the shop has a total of 120 guinea pigs and fish, the number of guinea pigs the shop has will be:

= 5/12 × 120

= 5 × 10

= 50 guinea pigs

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