Question

Four friends bought books at a bookstore. The person who got the best deal has the lowest ratio of cost to number of books purchased. Book Purchases Name Total Cost Number of Books Jo $9 4 Kei $12 8 Kate $30 16 Bryn $8 4 Who got the best deal? Jo Kei Kate Bryn

Answer 1

Answer: (B)

Step-by-step explanation: Kei.

Answer 2

Kei got the best deal.

Step-by-step explanation

The ratio of cost to number of books purchased for all of four friends will be.....

Jo ⇒
`(9)/(4)` , Kei ⇒
`(12)/(8)` , Kate ⇒
`(30)/(16)` , Bryn ⇒
`(8)/(4)`

Now we need to find the fraction which has lowest value. So, first we will make the denominators of all fractions as equal and then identify the lowest numerator. So......

`(9)/(4)=(9*4)/(4*4)=(36)/(16)\\ \\ (12)/(8)=(12*2)/(8*2)=(24)/(16)\\ \\ (30)/(16)=(30*1)/(16*1)=(30)/(16)\\ \\ (8)/(4)=(8*4)/(4*4)=(32)/(16)`

We can see that, the lowest numerator is 24 here. That means the lowest fraction is
`(12)/(8)`

Thus, Kei got the best deal.