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

Question

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

shridhar786 · Accepted Answer

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

nick1816 · Answer

Question stem- we need to figure out the Cost of each additional service

Statement 1

Case 1-
 Cost of additional service=  \frac{ }{3} =7.5
 
Case 2- 
Cost of additional service=  \frac{ }{3} =2.5

Insufficient

Statement 2

Case 1-
Cost of additional service=  \frac{ }{2}  = 22.5

Case 2- 
Cost of additional service=  \frac{ }{2}  = 15

Case 3-
 Cost of additional service=  \frac{ }{2}  =7.5

Insufficient

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

Sufficient

C

Kritisood · Answer

Official solution

Let x be the charge, in dollars, of each additional service. Determine the value of (60)(0.5) + 3x, or equivalently, determine the value of x.

The table below shows the value of x for each of the three possible massages that Jordan had.
Massage Total charge x
30-minute 15 + 3x = 37.50 7.50
60-minute 30 + 3x = 37.50 2.50
90-minute 45 + 3x = 37.50 −2.50

From the table it follows that there are two possible values of x, namely x = 7.5 and x = 2.5; NOT sufficient.
The table below shows the value of x for each of the three possible massages that Ryan had.
Massage Total charge x
30-minute 15 + 2x = 60 22.50
60-minute 30 + 2x = 60 15.00
90-minute 45 + 2x = 60 7.50
From the table it follows that there are three possible values of x, namely x = 22.5, x = 15, and x = 7.5; NOT sufficient.

Given (1) and (2), it follows that x = 7.5.

Both statements together are sufficient.

IanStewart · Answer

Each Statement is clearly insufficient alone. We know that adding 30 minutes of massage adds $15 to the price. So there's no way S1 and S2 describe massages that differ by only 30 minutes, because if we add $15 to $37.50, we don't get something as large as $60, and we're subtracting one service in S2 on top of that. The only possibility is that S1 describes a 30 minute massage, and S2 a 90 minute massage. Then the longer massage would add $30 to the price in S1, leading to a cost of $67.50, and now we can see that by subtracting a service, the cost drops by $7.50, so that's the price of one service. The answer is C.

hemantbafna · Answer

Can some expert please explain a simpler way
 Bunuel

hemantbafna · Answer

This makes a lot more sense, thank you!

azfarsulaiman1 · Answer

Bunuel  can you please guide on this solution? Dont get why its C

budhni · Answer

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.

Let M are the minutes of massage and F is the fixed cost for additional service.

From Statement 1, 0.5M+3F=37.50. NS as we do not know M
From Statement 2, 0.5M+2F=60.00. NS as we do not know M

combine the two statements, we can get the unique value for M And F. hence sufficient.
solveing the above two

Basshead · Answer

A member can receive a 30, 60, or 90 minute massage, costing $15, $30, or $45 respectively. There is a fixed charge for each additional service.

What was the total charge for a 60 minute massage and 3 additional services?

We know a 60 minute massage is $30. We need to determine how much the 3 additional services are.

(1) Jordan paid a total of $37.50 for a massage and 3 additional services. We don't know if she received the 30 minute massage or the $60 minute massage, however, so we're not able to determine how much she spent on the 3 additional services.

(2) Ryan paid $60 for a massage and 2 additional services. Again, we don't know if Ryan received the 30, 60, or 90 minute massage. Insufficient.

(1&2) We're told that each additional service is the same fixed amount.

We know Jordan had 3 additional services and Ryan had 2 additional services. Notice Jordan's total of $37.50 is $7.50 more than a massage. The cheapest massage is $15, so she must have spent $22.50 on 3 additional services.

We can conclude that Ryan spent $15 on two additional services and received the 90 minute passage.

We can also answer the question: A 90 minute massage and 3 additional services costs: $45 + 22.50 = $67.50. SUFFICIENT.

Answer is C.

Aboyhasnoname · Answer

A Very Nice Question....

Cost of Massages is 15, 30 or 45... 
Additional Service lets assume is x each....

Statement 1..2 cases..either 30 minute or 60 minute massage..Means 2 equations

Case 1.
15 + 3x = 37.5: 3x = 22.5 means x = 7.5

Case 2. 
30 + 3x = 37.5: 3x = 7.5 means x = 2.5

Two Values of X..Not Sufficient...

Statement 2... 
3 Cases....Either 30 minutre or 60 minute or 90 min massage... 
Case 1
15 + 2x = 60 ..x = 22.5

Case 2
30 + 2x = 60..x= 15

45 + 2x = 60...x = 7.5

Different Values ..hence Not Sufficient...

Combine... 
We get. x = 7.5 ....Answer C

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

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GMAT Data Sufficiency (DS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

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