SOLUTION: Ulrike can blow up a balloon in 5 seconds. Lars can blow up a balloon in 6 seconds. Ulrike takes 3 seconds to tie each balloon and Lars takes 4 seconds to tie each balloon. Togethe

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Question 1128820: Ulrike can blow up a balloon in 5 seconds. Lars can blow up a balloon in 6 seconds. Ulrike takes 3 seconds to tie each balloon and Lars takes 4 seconds to tie each balloon. Together they blew up and tied 3 bags of balloons in 14 minutes. How many balloons are in each bag?
Found 3 solutions by Boreal, ikleyn, josmiceli:
Answer by Boreal(15235) About Me  (Show Source):
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14 minutes is 840 seconds
Ulrike needs 8 seconds per balloon, or 105 balloons in 840 seconds
Lars needs 10 seconds or 84 balloons in 840 seconds.
That is 189 balloons in 14 minutes combined.
divide by 3 bags and 63 balloons per bag.

Answer by ikleyn(52852) About Me  (Show Source):
You can put this solution on YOUR website!
.

U completes one balloon in 5+3 = 8 seconds.


L completes one balloon in 6+4 = 10 seconds.


So, every 120 seconds (every 2 minutes) they complete 120%2F8 + 120%2F10 = 15 + 12 = 27 balloons.


In 14 minutes they will complete  %2814%2F2%29%2A27 = 7*27 balloons.


It is what is in 3 bags,


So, there are  %287%2A27%29%2F3 = 7*9 = 63 balloons in each bag.     ANSWER

Solved.


Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of balloons they
can blow up and tie together
Add their rates of working to get
their rate working together
+1%2F%28+5+%2B+3+%29+%2B+1%2F%28+6+%2B+4+%29+=+n%2F%28+14%2A60+%29+
The units are: [ balloons made ] / [ seconds to makes them ]
+1%2F8+%2B+1%2F10+=+n%2F840+
Multiply both sides by +840+
+105+%2B+84+=+n+
+n+=+189+
and
+189%2F3++=+63+
There are 63 balloons in each bag