Question

Jim and Pam were on a holiday in the Amazon rainforest. Pam saw a bush of beautiful flowers that she wanted to make a garland out of, but this was across the river and they would have to jump 10 rocks to get across. They both carried old, worn-out baskets and on the return trip, Pam lost two flowers from a big hole in his basket at every jump. Jim was right behind her and he too lost two flowers at every jump, but also managed to catch one of Pam's lost flowers at every alternate jump. If they got back with a total of 37 flowers between the two of them, how many flowers did they collectively pick before they crossed the river assuming that they both collected an equal amount of flowers?​

Answer 1

Answer: 75 flowers

Let's count the jumps Jim and Pam made while crossing the river. Because there are 10 stones in their way accross the river which means They had to jump 11 times. How? Let's see

1. In the first jump, Jim&Pam jumped from the riverside on the first stone.
2. In the second jump, Jim&Pam jumped on the second stone.
3. In the third jump, Jim&Pam jumped on the third stone.
4. In the fourth jump, Jim&Pam jumped on the fourh stone.
5. In the fifth jump, Jim&Pam jumped on the fifth stone.
6. In the sixth jump, Jim&Pam jumped on the sixth stone.
7. In the seventh jump, Jim&Pam jumped on the seventh stone.
8. In the eighth jump, Jim&Pam jumped on the eighth stone.
9. In the nineth jump, Jim&Pam jumped on the nineth stone.
10. In the tenth jump, Jim&Pam jumped on the tenth stone.

Here, They have jumped on all the stones but to get accross the river they had to make one more jump from the tenth stone to the riverside. Which will count as the Eleventh jump.

Now, They lost 2 flowers in each jump. Which means each of them lost a total of 22 flowers after crossing the river once.

Which sums up to 44 flowers they lost collectively.

It is given that, Jim collected one flower from the lost flowers of Pam at every alternate jump, So let's find out the number of jumps in which he collected that one flower and hence find the total number of flowers he collected.

1. Jump 1, Jim collected 1 flower.
2. Jump 2, Jim didn't collect.
3. Jump 3, Jim collected 1 flower.
4. Jump 4: Jim didn't collect.
5. Jump 5: Jim collected 1 flower.
6. Jump 6: Jim didn't collect.
7. Jump 7: Jim collected 1 flower.
8. Jump 8: Jim didn't collect.
9. Jump 9: Jim collected 1 flower.
10. Jump 10: Jim didn't collect.
11. Jump 11: Jim collected 1 flower.

So, Jim collected a total of 6 flowers from the lost 22 flowers of Pam.

Given that, They got back with a total number of 37 flowers. And we have to find the number of flowers they collected before crossing the river. Also, They collected equal number of flowers.

It is clear that,

⇒ Number of flowers they collected = Number of flowers they got back + Number of flowers they lost - (Number of flowers Jim collected while crossing the river)

⇒ Number of flowers collected = 37 + 44 - 6

⇒ Number of flowers collected = 37 + 38

⇒ Number of flowers collected = 75

Answer 2

Answer:

Given :-

Jim and Pam were on a holiday in the Amazon rainforest. Pam saw a bush of beautiful flowers that she wanted to make a garland out of, but this was across the river and they would have to jump 10 rocks to get across. They both carried old, worn-out baskets and on the return trip, Pam lost two flowers from a big hole in his basket at every jump. Jim was right behind her and he too lost two flowers at every jump, but also managed to catch one of Pam's lost flowers at every alternate jump. If they got back with a total of 37 flowers between the two of them,

To Find :-

Flower collected

Solution :-

This question is completely based on our mind logic.

Starting from Case - 1

• Case - 1

Ten steps they jumped

In one step they jumped on 1 stone

So,

In 10 steps = (10 × 1) = 10 stone

And

when they take 1 step to reach

So,

10 + 1 = 11 stone

Flower lost = 2 × number of stones

Flower lost = 2 × 11 + 2 × 11

Flower lost = 22 flower + 22 = 44 flower

• Case - 2

Alternate means one then one skipped then 1

Step 1 - 1

Step 2 - 0 [Since alternate]

Step 3 - 1

Step 4 - 0 [since alternate]

Step 5 - 1

Step 6 - 0 [Since alternate]

Step 7 - 1

Step 8 - 0 [Since alternate]

Step 9 - 1

Step 10 - 0 [Since alternate]

Step 11 - 1

Flower remains = 44 - 6

Flower remains = 38

Remaining flower = 37 + 38 = 75