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Vanyuwa [196]
3 years ago
10

A pet shop sells guinea pigs and goldfish.

Mathematics
1 answer:
Mashutka [201]3 years ago
8 0

Answer:

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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<h3>Answer: choice B) 36</h3>

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Explanation:

The vertical sides, when read from left to right, can be divided to get this fraction: 9/90

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The fractions we constructed are equal to one another, as the triangles are said to be proportional.

We have the fraction 9/90 = b/360

Lets cross multiply and solve for b

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9/90 = b/360

9*360 = 90*b

3240 = 90b

90b = 3240

90b/90 = 3240/90

<h3>b = 36</h3>

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A quick way to do this may be to notice how the jump from 9 to 90 is "times 10" so the jump from b to 360 is also "times 10". Think in reverse to divide 360 over 10 and we land on 36 as our answer. This line of thinking does not work as simple for all proportional problems.

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