Question

A shopkeeper takes 12 bags of coins to the bank. The bags contain the following numbers of coins:
150, 163, 158, 165, 172, 152, 160, 170, 156, 162, 159 and 175.

a Represent this information in a stem-and-leaf diagram.

b Each bag contains coins of the same value, and the shopkeeper has at least one bag containing coins with

dollar values of 0.10, 0.25, 0.50 and 1.00 only.

What is the greatest possible value of all the coins in the 12 bags?


correct answer = 1615 dollar
how

Answer 1

Answer:

Step-by-step explanation:A shopkeeper takes 12 bags of coins to the bank. The bags contain the following numbers of coins: 150, 163, 158, 165, 172, 152, 160, 170, 156, 162, 159 a... ... and 175. Each bag contains coins of the [same] value, and the shopkeeper has at least one bag containing coins of dollar values of 0.10, 0.25, 0.50 and 1.00 only.

10 answers

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9 votes:

So, first of all, this isn’t a statistics problem. It’s a constrained maximization problem. ...

Answer 2

Answer:

A shopkeeper takes 12 bags of coins to the bank. The bags contain the following numbers of coins:

150, 163, 158, 165, 172, 152, 160, 170, 156, 162, 159 and 175.

The greatest possible value of all the coins in the 12 bags is 1615.

Step-by-step explanation:

The given problem is a constrained maximization problem.

• In order to have maximum value of coins, the highest denomination should have maximum number of coins followed by next one and so on.

• Number of coins in each bag after arranging them in descending order

• 175, 172, 170, 165, 163, 162, 160, 159, 158, 156, 152, 150.

• Since there is at least one bag of each denomination, calculating each denomination's value by assigning maximum value to maximum denomination and leaving one bag each to others,

1 * (175 + 172 + 170 + 165 + 163 + 162 + 160 + 159 + 158 ) = 1484

0.5 * (156) = 78

0.25* (152) = 38

0.1 * (150) = 15

Summing 1484+78+38+15 = 1615

• 1615 is the greatest possible value of all the coins in the 12 bags.

Stem leaf diagram:

Stem                  Leaf

1                           5

3                           8

7                           8

15                          8   9

16                          0    2    3    5

17                           0    2    5

Also find other statistics problems:

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