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Katyanochek1 [597]
3 years ago
15

There is a list of seven numbers. The average of the first four numbers is 5, and the average of the last four numbers is 8. If

the average of all seven numbers is (6 + 4/7), find the number common to both sets of four numbers.
Mathematics
1 answer:
sammy [17]3 years ago
3 0

Answer:

6

Step-by-step explanation:

Sum of first 4 numbers= 4*5= 20

This includes 3 + 4th number

Sum of last 4 numbers= 4*8= 32

This includes 4th number + 3

Sum of 7 numbers= 7*(6+4/7)= 46

This includes 3+4th number +3

Number common to both sets= (20+32)- 46 = 6

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Step-by-step explanation: 11/12 - 3/8

1. First, we will find a common denomenator. It needs to be the least common factor, or the answer will not be in its simplist form. Let's take a look at the multiples of 12 and 8.

12: 12, 24, 36, 48, 60, 72, 84, 96

8: 8, 16, 24, 32, 40, 48, 56, 64, 72

2. Next, we will choose the smallest common multiple. That would be 24.

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4. Subtract.

22/24 - 9/24

= 13/24

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I found the denomenators by multiplying.

Hope this answer helped!

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