Question

GCSE MATHS PLEASE ANSWER!!!!!!!!!!!!!!!!

Shirley wants to find an estimate for the number of bees in her hive.
On Monday she catches 90 of the bees.
She puts a mark on each bee and returns them to her hive.
On Tuesday she catches 120 of the bees.
She finds that 20 of these bees have been marked.
(a) Work out an estimate for the total number of bees in her hive.



Shirley assumes that none of the marks had rubbed off between Monday and Tuesday.
(b) If Shirley’s assumption is wrong, explain what effect this would have on your answer
to part (a).

Answer 1

Answer:

540

Step-by-step explanation:

Answer 2

Given: Shirley wants to find an estimate for the number of bees in her hive. On Monday she catches 90 of the bees. She puts a mark on each bee and returns them to her hive. On Tuesday she catches 120 of the bees. She finds that 20 of these bees have been marked. Shirley assumes that none of the marks had rubbed off between Monday and Tuesday.

To find:

(a) Work out an estimate for the total number of bees in her hive.

(b) If Shirley’s assumption is wrong, explain what effect this would have on your answer to part (a).

Solution:

(a)

According to the question, she catches 120 bees on Tuesday but 20 of them were already marked. So, the number of unmarked bees she caught on Tuesday can be calculated as follows.

$120 - 20 = 100$

She caught 90 bees on Monday and 100 bees on Tuesday. Hence, the total number of bees she caught all together is calculated as follows.

$90 + 100 = 190$

(b)

If Shirley’s assumption is wrong, then the number of bees in her hive is definitely less than 190.

Therefore,

(a) The total number of bees in her hive is 190.

(b) If Shirley’s assumption is wrong, the number of bees in her hive is less than 190.