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

Option D is the correct choice.

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:

`(14)/(4)=(7*2)/(2*2)=(7)/(2)`

`(28)/(8)=(7*4)/(2*4)=(7)/(2)`

`(56)/(16)=(7*8)/(2*8)=(7)/(2)`

Therefore, last table is the correct choice.