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To order certain plants from a catalog, it costs $3.00 per plant......

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To order certain plants from a catalog, it costs $3.00 per plant......  [#permalink]

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New post 23 May 2016, 03:17
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To order certain plants from a catalog, it costs $3.00 per plant, plus a 5 percent sales tax, plus $6.95 for shipping and handling regardless of the number of plants ordered. If Company C ordered these plants from the catalog at the total cost of $69.95, how many plants did Company C order?

A. 22
B. 21
C. 20
D. 19
E. 18
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Re: To order certain plants from a catalog, it costs $3.00 per plant......  [#permalink]

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New post 23 May 2016, 06:00
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nalinnair wrote:
To order certain plants from a catalog, it costs $3.00 per plant, plus a 5 percent sales tax, plus $6.95 for shipping and handling regardless of the number of plants ordered. If Company C ordered these plants from the catalog at the total cost of $69.95, how many plants did Company C order?

A. 22
B. 21
C. 20
D. 19
E. 18


You do not have to do any calculations if you understand the propertiies of number thrown by Q...

A constant amount is 6.95 and Toatl is 69.95...
so variable price dependent on # of plants = 69.95-6.95 = 63...

where as cost of ONE plant is NON_INTEGER 3+ 5% of 3, total is an integer.....
so # of plants has to be multiple of 10 to give an integer..
ONLY 20 is possible
C...

METHOD...
cost of ONE plant =\(3 + 3*0.05 = 3.15...\)
let the # of plants be p..
so \(3.15p+6.95=69.95................ 3.15p=63......................p= \frac{63}{3.15} = \frac{6300}{315}= 20\)
C
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Re: To order certain plants from a catalog, it costs $3.00 per plant......  [#permalink]

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New post 23 May 2016, 12:18
5
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nalinnair wrote:
To order certain plants from a catalog, it costs $3.00 per plant, plus a 5 percent sales tax, plus $6.95 for shipping and handling regardless of the number of plants ordered. If Company C ordered these plants from the catalog at the total cost of $69.95, how many plants did Company C order?

A. 22
B. 21
C. 20
D. 19
E. 18


Total Cost = Fixed Cost + Variable Cost/unit x No of Units bought


Fixed Cost here is $6.95

Variable Cost/unit = 3.15 ( 3.00 + 5% of 3.00)

69.95 = 6.95 + 3.15 ( No of Units bought )

Or, 63 = 3.15 ( No of Units bought )

So, ( No of Units bought ) = \(\frac{63}{3.15}\)

Or, ( No of Units bought ) = 20

Answer will be (C) , hope that helps !!

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Re: To order certain plants from a catalog, it costs $3.00 per plant......  [#permalink]

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New post 06 Sep 2018, 08:50
3
by subtracting the fix cost:
69.95-6.95=63
after deducting 5% sales tax:
63-0.05*63=60
price per plant=3
so total number of plants= 60/3 = 20

Answer C
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Re: To order certain plants from a catalog, it costs $3.00 per plant......  [#permalink]

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New post 14 Oct 2018, 10:04
nalinnair wrote:
To order certain plants from a catalog, it costs $3.00 per plant, plus a 5 percent sales tax, plus $6.95 for shipping and handling regardless of the number of plants ordered. If Company C ordered these plants from the catalog at the total cost of $69.95, how many plants did Company C order?

A. 22
B. 21
C. 20
D. 19
E. 18


One of the questions that can be solved using back-solving

Pick answer choice C to be the number of plants.

20*3 = 60

60 * 5/100 = 3

60 + 3 + 6.95 = 69.95
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Re: To order certain plants from a catalog, it costs $3.00 per plant......   [#permalink] 14 Oct 2018, 10:04
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