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# Al gets the disease algebritis and must take one green pill and one pi

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Math Expert
Joined: 02 Sep 2009
Posts: 59725
Al gets the disease algebritis and must take one green pill and one pi  [#permalink]

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20 Mar 2019, 02:07
00:00

Difficulty:

35% (medium)

Question Stats:

68% (02:28) correct 32% (02:35) wrong based on 19 sessions

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Al gets the disease algebritis and must take one green pill and one pink pill each day for two weeks. A green pill costs \$1 more than a pink pill, and Al's pills cost a total of \$546 for the two weeks. How much does one green pill cost?

(A) \$7
(B) \$14
(C) \$19
(D) \$20
(E) \$39

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Re: Al gets the disease algebritis and must take one green pill and one pi  [#permalink]

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20 Mar 2019, 02:43
Bunuel wrote:
Al gets the disease algebritis and must take one green pill and one pink pill each day for two weeks. A green pill costs \$1 more than a pink pill, and Al's pills cost a total of \$546 for the two weeks. How much does one green pill cost?

(A) \$7
(B) \$14
(C) \$19
(D) \$20
(E) \$39

must take one green pill and one pink pill each day for two weeks

i.e. Green pills needed = 2*7 = 14
i.e. Pink pills needed = 2*7 = 14

G = 1+P

Total Cost = 14G + 14P = 14(1+P) + 14P = 14+28P = 546 Given

i.e. P = 19
i.e. G = 1+19 = 20

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Re: Al gets the disease algebritis and must take one green pill and one pi  [#permalink]

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20 Mar 2019, 06:20
1
Bunuel wrote:
Al gets the disease algebritis and must take one green pill and one pink pill each day for two weeks. A green pill costs \$1 more than a pink pill, and Al's pills cost a total of \$546 for the two weeks. How much does one green pill cost?

(A) \$7
(B) \$14
(C) \$19
(D) \$20
(E) \$39

cost of pink pill=x
cost of gp = 1+x
so total 14 days expense
14*(2x+1)= 546
x=19; pink pill
green pill = 20
IMO D
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Re: Al gets the disease algebritis and must take one green pill and one pi  [#permalink]

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22 Mar 2019, 09:34
Bunuel wrote:
Al gets the disease algebritis and must take one green pill and one pink pill each day for two weeks. A green pill costs \$1 more than a pink pill, and Al's pills cost a total of \$546 for the two weeks. How much does one green pill cost?

(A) \$7
(B) \$14
(C) \$19
(D) \$20
(E) \$39

We can let the cost of the pink pill = p and the cost of the green pill = p + 1 and create the equation for the cost:

14p + 14(p + 1) = 546

14p + 14p + 14 = 546

28p = 532

p = 19

The green pill costs 20 dollars.

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Re: Al gets the disease algebritis and must take one green pill and one pi   [#permalink] 22 Mar 2019, 09:34
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