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Korolek [52]
3 years ago
13

six people went into the woods to look for truffles. On average they collected 7 truffles per person. The average of the last fo

ur people to come back was 8 truffles per person. In fact the fourth person to come backk had 11 treuffles in is basket. How many truffles did the last three people collect altogether?
Mathematics
1 answer:
kherson [118]3 years ago
8 0
Given the question "six people went into the woods to look for truffles. On average they collected 7 truffles per person. The average of the last four people to come back was 8 truffles per person. In fact the fourth person to come backk had 11 treuffles in is basket. How many truffles did the last three people collect altogether?" Since the average truffles collected by the six people is 7, then the total truffles collected by the six people is 6 x 7 = 42 truffles. Since the last four people that came back collected an average of 8 truffles, then the total number of truffles collected by the last four people that came back is 4 x 8 = 32 truffles. Given that the fourth person collected 11 truffles, therefore, <span>the last three people collected a total of 32 - 11 = 21 truffles.</span>
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What is the value of X? Pls help!
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2 years ago
While training for a marathon, Jeff wants to increase the number of miles he runs each day. On the first day of training, Jeff r
user100 [1]

Answer:

The series is 5 , 6 , 7 , 8 , 9 , 10 , 11

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between

 each two consecutive numbers

- Ex:

# 2  ,  5  ,  8  ,  11  ,  ……………………….  (constant difference is 3)

# 5  ,  10  ,  15  ,  20  ,  …………………………  (constant difference is 5)

# 12  ,  10  ,  8  ,  6  ,  ……………………………  (constant difference is -2)

* General term (nth term) of an Arithmetic series:

- If the first term is a and the common diffidence is d, then

 U1 = a  ,  U2  = a + d  ,  U3  = a + 2d  ,  U4 = a + 3d  ,  U5 = a + 4d

- So the nth term is Un = a + (n – 1)d, where n is the position of the

 number in the series

* Lets solve the problem

- Jeff wants to increase the number of miles he runs each day

∴ He will add the initial value by constant number each day

- He plans on increasing the number of miles he runs a day by 1

∴ The constant value is 1 mile

-  On the first day of training, Jeff runs 5 miles

∴ The first value is 5 miles

∴ The series is arithmetic

∵ a = 5 , d = 1

- He do that for the remainder of the week

∵ The week has 7 days

∴ The series has 7 terms

∵ The rule of the series is Un = a + (n - 1)d

∵ a = 5 and d = 1

∴ Un = 5 + (n - 1)(1)

∴ Un = 5 + n - 1

∴ Un = 4 + n ⇒ n is the position of the number

- Substitute n from 1 to 7 to find the series

∴ The series is 5 , 6 , 7 , 8 , 9 , 10 , 11

6 0
3 years ago
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