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PS - Words problems

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PS - Words problems

by Xbond » Mon Sep 22, 2008 4:59 am
Mark brought a set of 6 flowers pots of differents sizes at a total cost of 8.25$. Each pot costs O.25$ more thna the next one below it in size. What was the cost, in $, of the largest pot ?

A. 1.75$
B. 1.85$
C. 2.00$
D. 2.15$
E. 2.30$
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Algebra & word problem

by Azntycoon » Mon Sep 22, 2008 6:31 pm
We are given:
a) That there are 6 pots, each a different size;
b) The total price of the 6 pots is $8.25;
c) Each pot costs $0.25 more than the next one below it in size

* Let the smallest pot be "X"
* Let the next biggest pot be "X + 0.25"
* Let the following pot be "X + 0.50". Following this logic, the largest pot is represented by "X + 1.25".

With the above, we can construct the following algebraic expression:

X + (X+0.25) + (X+0.50) + (X+0.75) + (X+1.00) + (X+1.25) = 8.25
6X + 3.75 = 8.25
6X = 4.50
X = 0.75

Therefore, the largest pot costs 0.75 + 1.25 = $2. Thus, the answer is C.
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