Question

Jane can make a handcrafted dream catcher in 6 days. Zena makes the same dream catcher in 4 days. If they work together making dream catchers, how many days will it take to make 15 dream catchers?

Answer 1

36 dream catcherss

Explanation:

Jane's production rate:

1 dream catcher

6 days

Zena's production rate:

1 dream catcher

4 days

Production rate when working together:

1

6

+

1

4

=

5

12

. This ratio means it will take 12 days to make 5 dream catchers.

Set up a ratio for 15 dream catchers.

dream catcher

days

=

5

12

=

15

d

→ 5d = (12)(15) → 5d = 180 → d = 36

Answer 2

Answer: 36 days

Explanation:

Hi, to answer this we have to calculate the production rate of each one, by dividing the number of catchers by the time spent.

Jane: 1/6 dream catcher per day

Zena: 1/4 dream Catcher per day

Adding both results:

1/6 +1/4 =5/12 dream catcher per day (both)

Finally we have to divide the 15 dream catchers needed by the rate (5/12 per day) to obtain the number of days that will take to make 15 dream catchers

x = 15 / (5/12) =36 days.

Feel free to ask for more if needed or if you did not understand something.