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NOE VALLEY HIGH SCHOOL CHOIR PLANNED TO TRAVEL TO ITALY FOR THIER CONCERT TOUR. THE COST OF THE TRIO WAS $4500 FOR EACH OF 24 CHOIR MEMBERS. 1/2 OF THE CHOIR RECEIVED A FULL SHOLARSHIP. ANOTHER 1/3 RECEIVED A HALF SHOLASHIP. HOW MUCH MONEY NEED TO BE RAISE TO FUND THE SCHOLARSHIP?
 Oct 13, 2013
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I first write out what we're looking for, then what we know, then try to construct the relationships to decide what we need. For example:

What are we looking for? Remaining money needed
What's the relationship? Remaining money needed = total amount required - money already collected
What do we know? Total cost per person (4500), number of choir members (24)
What do we need? The total Amount Required and the Amount Collected so far

Total Amount Required = cost per person x number of people = 24 x 4500 = 108000

Total Amount Collected = amount of full scholarships given + amount of 1/2 scholarships given = 1/2 choir x 4500 + 1/3 choir x 1/2 (4500) = (12 x 4500) + (8 x 4500/2) = (54000 + 18000) = 72000

So remaining money needed will be (plugging everything in): total amount required - money already collected = 108000 - 72000 = $36000
 Oct 13, 2013

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