SOLUTION: The number of 5p coins in a money box is 2 less than three times the number of 10p coins. If the total value of the coins is £4.40, how many 5p coins are there in the box?
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-> SOLUTION: The number of 5p coins in a money box is 2 less than three times the number of 10p coins. If the total value of the coins is £4.40, how many 5p coins are there in the box?
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Question 1189232: The number of 5p coins in a money box is 2 less than three times the number of 10p coins. If the total value of the coins is £4.40, how many 5p coins are there in the box? Answer by greenestamps(13200) (Show Source):
(You can get some good mental exercise by solving a problem like this using logical reasoning and mental arithmetic)
(1) Add two more 5p coins, to make the number of 5p coins exactly 3 times the number of 10p coins, and making the total value £4.50 = 450p
(2) Group the coins in groups of one 10p coin and three 5p coins, with a total value of 25p for each group
(3) The number of those groups needed to make 450p is 450/25 = 18
(4) The number of 10p coins is 18; the number of 5p coins is 3(18) = 54
(5) Take away the "extra" two 5p coins, leaving 52
