Question

Fern knitted 20 scarves over 5 nights. After 8 nights of knitting, how many scarves would fern have made in total.

Answer 1

Fern will knit 32 scarves in 8 nights.

Explanation:

Number of scarves knitted by Fern in 5 night = 20

Relation between number of scarves knitted and number of nights is proportional,

Therefore, Number of scarves knitted (s) ∝ Number of nights spent to knit the scarves (n)

s ∝ n

s = kn

k =
`(s)/(n)`

Here, k = proportionality constant

For s = 20 and n = 5,

k =
`(20)/(5)`

k = 4 scarves per night

For 8 nights, by using the same proportionality rule,

k =
`(s)/(8)`

4 =
`(s)/(8)`

s = 32 scarves

Therefore, Fern will knit 32 scarves in 8 nights.