A hotel has two ice machines in its kitchen. How many hours would it take both machines to make 60 pounds of ice? Round to the nearest tenth.
1st machine = 35 Ib/day
2nd machine= 25Ib/days

Question

redplanet2001 · Answer

Machine 1-41.1 hours
Machine 2-57.6 hours

anonymous · Answer

Would you have to combined them

redplanet2001 · Answer

In the case of it being combined it would be 24 hours but that seems to easy.

redplanet2001 · Answer

And it wouldn't say round to the nearest tenth.

anonymous · Answer

Oh thanks

redplanet2001 · Answer

Best response?

anonymous · Answer

Could you explain how you got it

redplanet2001 · Answer

$$(60 \div 35) \times 24 $$ and $$(60 \div 25) \times 24$$

mertsj · Answer

In 1 hour the first machine makes 35/24 pounds of ice
In 1 hour the second machine makes 25/24 pounds of ice
In x hours the first machine makes (35/24)x pounds of ice
In x hours the second machine makes (25/24)x pounds of ice
Together the two machines make 60 pounds of ice in x hours:
$$\frac{35}{24}x+\frac{25}{24}x=60$$