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21 Sep 2019, 16:20
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
64% (02:49) correct
36%
(02:35)
wrong
based on 1709
sessions
History
Date
Time
Result
Not Attempted Yet
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.
DS48391.01
(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.
DS48391.01
24 Sep 2019, 22:14
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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
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
General Discussion
16 Oct 2019, 12:34
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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
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
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