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At a certain university recreation center, a member can receive a 30-m

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At a certain university recreation center, a member can receive a 30-m  [#permalink]

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New post 21 Sep 2019, 16:20
2
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C
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E

Difficulty:

  65% (hard)

Question Stats:

59% (02:49) correct 41% (02:47) wrong based on 71 sessions

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At a certain university recreation center, a member can receive a 30-minute massage, a 60-minute massage, or a 90-minute massage, and is charged $0.50 per minute for each massage. A member receiving a massage is charged the same fixed amount for each additional service, such as nutrition advice or a fitness evaluation. At this center, what is the total charge to a member for a 60-minute massage and 3 additional services?

(1) At this recreation center, Jordan, a member, had a massage and 3 additional services for a total charge of $37.50.
(2) At this recreation center, Ryan, a member, had a massage and 2 additional services for a total charge of $60.00.



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Re: At a certain university recreation center, a member can receive a 30-m  [#permalink]

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New post 24 Sep 2019, 22:14
1
a 30-minute massage, a 60-minute massage, or a 90-minute massage---charge $0.5 per minute
each additional service charge is the same
what is the total charge to a member for a 60-minute massage and 3 additional services?

STATEMENT (1)--At this recreation center, Jordan, a member, had a massage and 3 additional services for a total charge of $37.50.
let the charge for additional service be = x
if Jordan takes 30 min massage and 3 additional services
--30*0.5+3x = 37.5
--x = 7.5
if Jordan takes 60 min massage and 3 additional services
--60*0.5+3x = 37.5
--x = 2.5

from here we cant get the definite value of x(additional service)
so, we can't find the answer
INSUFFICIENT

STATEMENT (2)--At this recreation center, Ryan, a member, had a massage and 2 additional services for a total charge of $60.00.
Let the charge for additional service be = x
if Ryan takes 30 min massage and 2 additional services
--30*0.5+2x = 60
--x = 22.5
if Ryan takes 60 min massage and 2 additional services
--60*0.5+2x = 60
--x = 15
if Ryan takes 90 min massage and 2 additional services
--90*0.5+2x = 60
--x = 7.5

from here we cant get the definite value of x
so, we can't find the answer
INSUFFICIENT

combining both statements together
let the charge for additional service be = x
if Jordan takes 30 min massage and 3 additional services
--30*0.5+3x = 37.5
--x = 7.5
if Ryan takes 90 min massage and 2 additional services
--90*0.5+2x = 60
--x = 7.5
---only for this case the value of additional service is equal that is = 7.5

what is the total charge to a member for a 60-minute massage and 3 additional services?
--60*0.5+3*7.5 = 52.5
SUFFICIENT

C is the answer
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At a certain university recreation center, a member can receive a 30-m  [#permalink]

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New post 16 Oct 2019, 12:34
1
Question stem- we need to figure out the Cost of each additional service

Statement 1

Case 1-
Cost of additional service= \(\frac{[37.5-(30*0.5)]}{3}\)=7.5

Case 2-
Cost of additional service= \(\frac{[37.5-(60*0.5)]}{3}\)=2.5

Insufficient

Statement 2

Case 1-
Cost of additional service= \(\frac{[60-(30*0.5)]}{2}\) = 22.5

Case 2-
Cost of additional service= \(\frac{[60-(60*0.5)]}{2}\) = 15

Case 3-
Cost of additional service= \(\frac{[60-(90*0.5)]}{2}\) =7.5

Insufficient

Combine the 2 statements; there is only 1 common case in both statements

Sufficient

C



gmatt1476 wrote:
At a certain university recreation center, a member can receive a 30-minute massage, a 60-minute massage, or a 90-minute massage, and is charged $0.50 per minute for each massage. A member receiving a massage is charged the same fixed amount for each additional service, such as nutrition advice or a fitness evaluation. At this center, what is the total charge to a member for a 60-minute massage and 3 additional services?

(1) At this recreation center, Jordan, a member, had a massage and 3 additional services for a total charge of $37.50.
(2) At this recreation center, Ryan, a member, had a massage and 2 additional services for a total charge of $60.00.



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At a certain university recreation center, a member can receive a 30-m   [#permalink] 16 Oct 2019, 12:34
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