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The ratio of the number of cupcakes to the number of pastries in a box is 7:2. Which table shows the possible amounts of cupcakes and pastries in a box, given the ratio?




Cupcakes Pastries

7 2

21 6

42 8

84 10


Cupcakes Pastries

7 2

21 6

28 12

35 24


Cupcakes Pastries

7 2

21 17

42 38

84 80


Cupcakes Pastries

7 2

14 4

28 8

56 16

Verified Answer :

The first option is the correct answer

Answer:

Option D is the correct choice.

Step-by-step explanation:

We have been given that the ratio of the number of cupcakes to the number of pastries in a box is 7:2. We are asked to choose the table which represents the possible amounts of cupcakes and pastries in a box, given the ratio.

We can see that the ration in first three tables are not equal.

The amounts of cupcakes and pastries in a the 4th table are in the same ratio as:

\(\frac{14}{4}=\frac{7*2}{2*2}=\frac{7}{2}\)

\(\frac{28}{8}=\frac{7*4}{2*4}=\frac{7}{2}\)

\(\frac{56}{16}=\frac{7*8}{2*8}=\frac{7}{2}\)

Therefore, last table is the correct choice.