Question

Carson went to pick apples at an orchard.he gave one-third of his apples to his friend Nathan.then he gave one-half of what he had to his friend Nikki.on his way home he dropped one-fourth if what he had left,so that he only had 9 for him and his family.how many apples did Carson pick originally?

Answer 1

36 apples

Step-by-step explanation

Step 1 = he dropped 1/4 and was left with 9

Finding 1/3 one third of 9 = 3.

Then 9 +3 = 12

Step 2 He parted with 1/2 and was left with 12

12x2=24

Step 3 He parted with 1/3 and was left with 24

= 12+ 12 + 12 = 36 Where 1/3 of 36 = 24

Answer = 36

Answer 2

36

Explanation:

Carson had x number of apples to start with.

He gave 1/3 to Nathan. Now Carson has (2/3)x apples left.

He gave 1/2 of what was left to Nikki. Now Carson has (1/2)(2/3)x = (2/6)x = (1/3)x apples.

On the way home, he dropped 1/4, so he has 3/4 of the last amount he had, and the number is 9.

(3/4) * (1/3)x = 9

3/12 x = 9

1/4 x = 9

x = 36

Answer: He picked 36 apples.

Check:

Start with 36 apples.

Give 1/3 to Nathan. Now Carson has 24 apples.

Give 1/2 to Nikki. Now Carson has 12 apples.

Drop 1/4. 1/4 of 12 is 3. 12 - 3 = 9.

Hew only had 9 apples left, so 36 is correct.