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
BunuelI 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 =
7.50If it was 60 --> 37.50 = 30 + 3x --> x = 2.50
We are not sure what is x since we have two possibilities.
INSUFFICIENTREMEMBER: 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