It would take 3.19 hours to make 136 water balloons.
Step-by-step explanation:
Water balloons made = 32
Time = 45 minutes
Ratio of water balloons to time = 32:45
Water balloons to be made = 136
Time required = x
Ratio of balloons to be made to time required = 136:x
Using proportion;
Ratio of water balloons to time :: Ratio of balloons to be made to time required
[tex]32:45::136:x[/tex]
Product of mean = Product of extreme
[tex]45*136=32*x\\6120=32x\\32x=6120[/tex]
Dividing both sides by 32
[tex]\frac{32x}{32}=\frac{6120}{32}\\x=191.25\ minutes[/tex]
1 minute = [tex]\frac{1}{60}\ hours[/tex]
191.25 minutes = [tex]\frac{1}{60}*191.25 = 3.19\ hours[/tex]
It would take 3.19 hours to make 136 water balloons.
Keywords: ratio, proportion
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