Question

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

Answer 1

The first option is the correct answer 

Answer 2

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.