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Question

Emma gets five points for running three kilometers in a game. How many points will she get if she runs 15 kilometers?

A
6
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B
9
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C
15
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D
25
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Solution

The correct option is D 25
Given,
We get 5 points if she runs 3 km.
The ratio of points earned to the distance travelled is 5 : 3.

We have to find the points earned if she runs 15 km

Now, let's draw the double number line to represent the scenario.
For 3 km running, she gets 5points.

We know, 3 × 5 = 15 if the consquent 3 in the bottom number line is multiplied with 5 to get 15. Hence the antecedant 5 in the first number line should also be multiplied with 5, we get 25


From the double number line, we can see that for 15 km running, she will get 25 points.

Hence, Emma will get 25 points if she runs 15 km.

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