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During a trip that they took together, Carmen, Juan, Maria, a
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21 Jun 2018, 09:07

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During a trip that they took together, Carmen, Juan, Maria, and Rafael drove an average (arithmetic mean) of 80 miles each. Carmen drove 72 miles, Juan drove 78 miles, and Maria drove 83 miles. How many miles did Rafael drive?

During a trip that they took together, Carmen, Juan, Maria, a
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21 Jun 2018, 18:33

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Bunuel wrote:

During a trip that they took together, Carmen, Juan, Maria, and Rafael drove an average (arithmetic mean) of 80 miles each. Carmen drove 72 miles, Juan drove 78 miles, and Maria drove 83 miles. How many miles did Rafael drive?

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21 Jun 2018, 19:00

Bunuel wrote:

During a trip that they took together, Carmen, Juan, Maria, and Rafael drove an average (arithmetic mean) of 80 miles each. Carmen drove 72 miles, Juan drove 78 miles, and Maria drove 83 miles. How many miles did Rafael drive?

During a trip that they took together, Carmen, Juan, Maria, a
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21 Jun 2018, 19:02

4

During a trip that they took together, Carmen, Juan, Maria, and Rafael drove an average (arithmetic mean) of 80 miles each. Carmen drove 72 miles, Juan drove 78 miles, and Maria drove 83 miles. How many miles did Rafael drive?

Re: During a trip that they took together, Carmen, Juan, Maria, a
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23 Jul 2018, 18:41

1

Bunuel wrote:

During a trip that they took together, Carmen, Juan, Maria, and Rafael drove an average (arithmetic mean) of 80 miles each. Carmen drove 72 miles, Juan drove 78 miles, and Maria drove 83 miles. How many miles did Rafael drive?

A. 80

B. 82

C. 85

D. 87

E. 89

We can create the equation:

(72 + 78 + 83 + x)/4 = 80

233 + x = 320

x = 87

Alternate Solution:

Carmen drove 8 miles under the average, Juan drove 2 miles under the average and Maria drove 3 miles above the average. If we add these up, we get -8 + (-2) + 3 = -7; which means we are 7 miles under the average. Therefore, Rafael must drive 7 miles over the average to keep the average at 80 miles. Thus, Rafael drove 80 + 7 = 87 miles.

Re: During a trip that they took together, Carmen, Juan, Maria, a
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21 Apr 2019, 04:17

Arithmetic mean for 4 people was 80, so we multiply 80*4=320, and 320 is the sum of results for 4 people. now we subtract 320-(72+78+83)=87
_________________

Re: During a trip that they took together, Carmen, Juan, Maria, a
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21 Apr 2019, 08:19

[quote="Bunuel"]During a trip that they took together, Carmen, Juan, Maria, and Rafael drove an average (arithmetic mean) of 80 miles each. Carmen drove 72 miles, Juan drove 78 miles, and Maria drove 83 miles. How many miles did Rafael drive?

A. 80

B. 82

C. 85

D. 87

E. 89

Hi,

According to stem, total miles driven: 80*4=320 miles

Now, subtract the miles driven of the other drivers to find the miles driven for Rafael

Re: During a trip that they took together, Carmen, Juan, Maria, a
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21 Apr 2019, 08:23

[quote="Bunuel"]During a trip that they took together, Carmen, Juan, Maria, and Rafael drove an average (arithmetic mean) of 80 miles each. Carmen drove 72 miles, Juan drove 78 miles, and Maria drove 83 miles. How many miles did Rafael drive?

A. 80

B. 82

C. 85

D. 87

E. 89

Total miles driven = 80*4 people = 320 miles Miles driven by Carmen, Juan and Maria = 72+78+83 = 233 miles Miles driven by Rafael = 320 - 233 = 87 miles Hence, OA: D

Re: During a trip that they took together, Carmen, Juan, Maria, a
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10 May 2019, 12:04

Bunuel wrote:

During a trip that they took together, Carmen, Juan, Maria, and Rafael drove an average (arithmetic mean) of 80 miles each. Carmen drove 72 miles, Juan drove 78 miles, and Maria drove 83 miles. How many miles did Rafael drive?