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

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GMAT 1: 700 Q47 V39
Re: At a certain university recreation center, a member can receive a 30-m [#permalink]
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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.
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Q51  V47
Re: At a certain university recreation center, a member can receive a 30-m [#permalink]
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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. Manager Joined: 30 Jan 2020 Posts: 167 Own Kudos [?]: 80 [0] Given Kudos: 528 Location: India WE:Accounting (Accounting) At a certain university recreation center, a member can receive a 30-m [#permalink] 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.

DS48391.01

Can some expert please explain a simpler way
Bunuel
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Re: At a certain university recreation center, a member can receive a 30-m [#permalink]
Genoa2000 wrote:
hemantbafna wrote:
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. DS48391.01 Can some expert please explain a simpler way Bunuel I am definitely not an expert but I want to help you. You know that a member pays for a 60-minute massage: y= total charge x = additional service y = 60 * (0.5) + 3x --> y = 30 + 3x Now we want to know what is the value of x so that we can complete our expression. We try to understand it from the statements provided. 1) We don't know what massage he received (if 30/60/90) but we know the total charge and the number of additional services: If it was 30 --> 37.50 = 15 + 3x --> x = 7.50 If it was 60 --> 37.50 = 30 + 3x --> x = 2.50 We are not sure what is x since we have two possibilities. INSUFFICIENT REMEMBER: we are told that x is always the same. So if we find x in any service we do not have to think about a possible change of it and we have what we need. 2) Same situation as before but different values: We don't know what massage he received (if 30/60/90) but we know the total charge and the number of additional services: If it was 30 --> 60 = 15 + 2x --> x = 22.50 If it was 60 --> 60 = 30 + 2x --> x = 15.00 If it was 90 --> 60 = 45 + 2x--> x = 7.50 We are not sure what is x since we have three possibilities. INSUFFICIENT (1) + (2): Now we see that 7.50 is a possibility for both the message we were given information about --> x must be 7.50 SUFFICIENT This makes a lot more sense, thank you! Intern Joined: 29 May 2019 Posts: 6 Own Kudos [?]: 0 [0] Given Kudos: 7 Location: Pakistan GPA: 3.29 Re: At a certain university recreation center, a member can receive a 30-m [#permalink] Bunuel can you please guide on this solution? Dont get why its C Intern Joined: 15 Jul 2020 Posts: 25 Own Kudos [?]: 14 [2] Given Kudos: 14 Re: At a certain university recreation center, a member can receive a 30-m [#permalink] 2 Kudos hemantbafna wrote: Genoa2000 wrote: hemantbafna wrote: 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.

DS48391.01

Can some expert please explain a simpler way
Bunuel

I am definitely not an expert but I want to help you.

You know that a member pays for a 60-minute massage:

y= total charge

y = 60 * (0.5) + 3x --> y = 30 + 3x

Now we want to know what is the value of x so that we can complete our expression.

We try to understand it from the statements provided.

1) We don't know what massage he received (if 30/60/90) but we know the total charge and the number of additional services:

If it was 30 --> 37.50 = 15 + 3x --> x = 7.50

If it was 60 --> 37.50 = 30 + 3x --> x = 2.50

We are not sure what is x since we have two possibilities. INSUFFICIENT

REMEMBER: we are told that x is always the same. So if we find x in any service we do not have to think about a possible change of it and we have what we need.

2) Same situation as before but different values:

We don't know what massage he received (if 30/60/90) but we know the total charge and the number of additional services:

If it was 30 --> 60 = 15 + 2x --> x = 22.50

If it was 60 --> 60 = 30 + 2x --> x = 15.00

If it was 90 --> 60 = 45 + 2x--> x = 7.50

We are not sure what is x since we have three possibilities. INSUFFICIENT

(1) + (2):

Now we see that 7.50 is a possibility for both the message we were given information about --> x must be 7.50 SUFFICIENT

This makes a lot more sense, thank you!

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. 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 Director Joined: 09 Jan 2020 Posts: 953 Own Kudos [?]: 235 [0] Given Kudos: 432 Location: United States Re: At a certain university recreation center, a member can receive a 30-m [#permalink] 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.

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