Question

Mary owned n sheep and sam had exactly 4 times as mary. mary buys 17 extra sheep and sam sells 8 of his sheep. sam still has more sheep than mary. form an inequality, in terms of n. you must show all your working. your final line must begin with: least value of n is

Answer 1

Answer:

hey dear ..

the least value of n is, 9.

step-by-step explanation:

let n be the number of sheep in integer.

mary(m) owned the number of sheep is n i.e, m = n sheep.

thanks

sam(s) had exactly four times as many sheep as mary , i.e, s = 4 n sheep

as per the given condition mary buys 17 extra sheep

now, mary has total number of sheep, m = n +17 sheep

and sam sells 8 of his sheep that means he has now,

$s = 4n -8$

but, sam still has more sheep than mary i.e, $4n-8 > n+17$

solve an inequality: $4n-8 > n+17$

add 8 both sides we get;

$4n-8+8> n+17+8$

simplify:

$4n> n+25$

now, subtract n from both the side, we get;

$4n -n> n+25-n$

simplify:

$3n> 25$ or $n> \frac{25}{3}=8.33333333$

since n is the number of sheep in integer,

then the least value of n is, 9.

hope it's helpful for you.

Answer 2

Answer:

n = 9

Step-by-step explanation:

Given,

Mary owned n sheep. Then she buys 17 extra sheeps.

Now, may has n + 17 sheeps.

Sam had exactly 4 times as mary. So, Initially Sam owned 4n sheep. Then Sam sold 8 of his sheep. Sam now has 4n - 8 sheep.

Sam has more sheep than Mary so,

4n - 8 > n + 17

=> 4n - n > 17 + 8

=> 3n > 25

=> n > 25/3

=> n > 8.3333

Least value of n is 9 since n must be a whole number as it represents the number of sheep.

Therefore, the least value of n = 9

Hope it helps!