Question

Mary owned n sheep and Sam had exactly 4 times as many sheep 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.
Solve the inequality to find the least value of n.
You must show all your working.
Your final line must begin with:
least value of n is

Answer 1

least value of n is 9

Explanation:

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

Mray = n + 17 sheeps

Sam had exactly 4 times as mary. Then Sam sold 8 of his sheep.

Sam = 4n - 8 sheep.

Sam has more sheep than Mary

Sam sheep is greater than Mary

4n - 8 > n + 17

Collect like terms

4n - n > 17 + 8

3n > 25

Divide both sides by 3

n > 25/3

n > 8.3333

Note: the value of n must be whole

Therefore, least value of n is 9