My Math Forum Amount of water

 Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion

 September 17th, 2018, 11:27 PM #1 Newbie   Joined: Sep 2018 From: Japan Posts: 27 Thanks: 2 Amount of water Larry used 5/12 of the amount of water in a container to make 30 cups of fruit punch. He then made some cups of tea using the rest of the water left in the container. The amount of water he used for each cup of tea is twice the amount used for each cup of fruit punch. How many cups of tea did he make? I'm not sure how to create an algebraic equation to solve this one. All I know is he has 7/12 water left to make tea, and he is using twice the water. Last edited by skipjack; September 18th, 2018 at 05:19 PM.
 September 18th, 2018, 12:26 AM #2 Senior Member   Joined: Apr 2014 From: UK Posts: 886 Thanks: 326 The simplest way to achieve the answer is to work out how many cups of fruit punch he could make with the remaining water, then halve it to obtain the number of cups of tea he could make. My brain spat this out: (7/5)*30/2 = 21 cups of tea Thanks from xoritos
September 18th, 2018, 04:41 PM   #3
Newbie

Joined: Sep 2018
From: Japan

Posts: 27
Thanks: 2

Quote:
 Originally Posted by weirddave My brain spat this out: (7/5)*30/2 = 21 cups of tea
I believe I see where you got (7/5). You did (5/12) * (12/7), but is there a reason why you times how much water they use for fruit punch and tea? Why can't I do (7/12)*30/2?

 September 18th, 2018, 05:43 PM #4 Global Moderator   Joined: Dec 2006 Posts: 19,713 Thanks: 1806 The quotient of the amounts of water available, namely (7/12)/(5/12) was used, not their product. Water per cup of fruit punch is (5/12)/30 and so water per cup of tea is 2(5/12)/30. Hence the number of cups of tea is given by (7/12)/(2(5/12)/30) = 21. Thanks from xoritos
 September 18th, 2018, 11:40 PM #5 Senior Member   Joined: Apr 2014 From: UK Posts: 886 Thanks: 326 I admit, I took a shortcut, I ignored the denominators completely as I know they cancel out with this specific type of problem. Thanks from xoritos

 Tags amount, water

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post Ganesh Ujwal Physics 2 January 3rd, 2015 06:47 AM r-soy Physics 1 December 15th, 2013 02:54 PM Chikis Elementary Math 11 October 22nd, 2013 04:55 PM gelatine1 Algebra 10 July 15th, 2013 06:00 PM autumnsandsprings Algebra 2 May 11th, 2012 02:26 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top