Challenging Word Problem Sums

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liukawa

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Feb 5, 2012
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Hi Guys

Not sure whether is this the right place to post this question.

Anyway , I have been stuck with this question for numerous days and have absolutely no idea how to do this question .

Please help guys !

The question is as follows :

An equal number of green and white tees were offered for sale in Harry's shop. Each tee costs [FONT=MathJax_Main]21.[FONT=MathJax_Math-italic]A[/FONT][FONT=MathJax_Math-italic]f[/FONT][FONT=MathJax_Math-italic]t[/FONT][FONT=MathJax_Math-italic]e[/FONT][FONT=MathJax_Math-italic]r [/FONT][FONT=MathJax_Math-italic]s[/FONT][FONT=MathJax_Math-italic]e[/FONT][FONT=MathJax_Math-italic]l[/FONT][FONT=MathJax_Math-italic]l[/FONT][FONT=MathJax_Math-italic]i[/FONT][FONT=MathJax_Math-italic]n[/FONT][FONT=MathJax_Math-italic]g[/FONT][FONT=MathJax_Math-italic] s[/FONT][FONT=MathJax_Math-italic]o[/FONT][FONT=MathJax_Math-italic]m[/FONT][FONT=MathJax_Math-italic]e [/FONT][FONT=MathJax_Math-italic]o[/FONT][FONT=MathJax_Math-italic]f[/FONT][FONT=MathJax_Math-italic] t[/FONT][FONT=MathJax_Math-italic]h[/FONT][FONT=MathJax_Math-italic]e [/FONT][FONT=MathJax_Math-italic]t[/FONT][FONT=MathJax_Math-italic]e[/FONT][FONT=MathJax_Math-italic]e[/FONT][FONT=MathJax_Math-italic]s[/FONT][FONT=MathJax_Main],[/FONT][/FONT]819 more was collected from the sale of green tees than white tees.

If Harry sold 40 more green tees, 80% of the green tees would have been sold.

If Harry sold 81 fewer white tees, 40% of the white tees would have been sold.

1) How many more green tees than white tees were sold

2) Find the total number of green and white tees that were offered for sale.
 
Denis said:
A bit "hard to picture" ; but not too difficult. We don't provide full solutions.

Always a good idea to "make up" a case that's easy. Changing your problem to:

An equal number of green and white tees were offered for sale in Harry's shop. Each tee costs 20.
After selling some tees, 400 more was collected from the sale of green tees than white tees.

If Harry sold 10 more green tees, 60% of the green tees would have been sold.

If Harry sold 5 fewer white tees, 25% of the white tees would have been sold.


Code: 
                    GREEN              WHITE
Start               n [100]            n [100]

Sold                g [50]             w [30]

If [10] more sold   g+10 [60] 

If [5] less sold                       w-5 [25]
In square brackets is shown what's used for this example...so you can "see it all" better.
n = start number of each (assume 100)
g = Greens sold (assume 50)
w = Whites sold (assume 30)

Givens:
20 (price each sold for)
400 (difference)
10 (extra Greens) : 60 (percentage)
5 (lesser Whites) : 25 (percentage)

From sale:
20g - 20w = 400 ; simplify:
g - w = 20 [1]

From 10 extra Greens:
(g + 10) / n = 60/100 ; simplify:
n = (5g + 50) / 3 [2]

From 5 lesser Whites:
(w - 5) / n = 25/100 ; simplify:
n = 4w - 20 [3]

So that's 3 equations, 3 unknowns...easy enough to solve...give it a shot.
Your solution should equal what was assumed (n=100, g=50, w=30).
Then repeat using the ACTUAL problem.
Click to expand...

Hi Dennis

This is an elementary school maths.

Which means that the student has not mastered the manipulation of algebraic equations, much less 3 algebric equations.

Any idea how to solve this question with just one algebric variable?
 
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