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The tape diagram represents the ratio of the numbers of planets in two different solar systems. There are 8 planets in Solar System B. How many planets are in Solar System A?

The tape diagram represents the ratio of the numbers of planets in two different solar-example-1

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The correct answer is 6 planets

Step-by-step explanation:

The image presented shows the ratio of planets in solar system A vs those in solar system B. In this way, the general ratio is 3 : 4 or 3 to 4; this means for each 4 four planets in solar system B there are 3 planets in solar system A and vice versa. Now, to find the total of planets in system A if there are 8 planets in system B, follow this process:

8 planets / 4 = 2 planets - This means each of the sections in the diagram represents 2 planets

2 section x 3 = 6 planets as in the solar system A there are 3 sections and each of this represents 2 planets, the total of planets in this system are 6

This result can also be found by converting the ratio to a fraction and multiplying this by the 8 planets

8 planets x
(3)/(4) = (24)/(4) = 6

User John Noonan
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