Mathematical Puzzle

When they started off on the great annual picnic every wagon in town was pressed into service, each one carrying the same number of people.
Half way to the picnic ground ten wagons broke down, so it was necessary for each of the remaining wagons to carry one more person.
When they started for home it was discovered that fifteen more wagons were out of commission, so on the return trip there were three persons more in each wagon than when they started out in the morning.
How many people attended the great annual picnic?
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My goal is to have $12. If I save $1 a month then it will take me 12 months to save $12. If I save $2 a month then it will take me 6 months to save $12. What if I saved $1.50 each month? How many months would it take me to save $12?
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While enjoying a giddy ride at the carousel Sammy propounded a puzzle which reflects much credit to his mental abilities.
“One third of the number of kids riding ahead of me, added to threequarter of those riding behind me gives the correct number of children on this MerryGoRound” is the way he puts it; but it will puzzle you quite a little to tell just how many riders there were at this whirling circus.View SolutionSubmit Solution 154 views
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What are the maximum number of grape vines that can be planted, not closer than nine feet apart, in a square plot containing onesixteenth of an acre?
Note: each side of this square plot would be 52 feet 2 inches)
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There are 2 trees in a garden (tree “A” and “B”) and on the both trees are some birds.
The birds of tree A say to the birds of tree B that if one of you comes to our tree, then our population will be the double of yours.
Then the birds of tree B tell to the birds of tree A that if one of you comes here, then our population will be equal to that of yours.
How many birds in each tree?
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According to the traditional song, on the first day of Christmas (25th December), my true love sent to me:
. A partridge in a pear tree
On the second day of Christmas (26th December), my true love sent to me THREE presents:
. Two turtle doves
. A partridge in a pear treeOn the third day of Christmas (27th December and so on) my true love sent to me SIX presents:
. Three French hens
. Two turtle doves
. A partridge in a pear treeThis carries on until the the twelfth day of Christmas, when my true love sends me:
Twelve drummers drumming
Eleven pipers piping
Ten lords aleaping
Nine ladies dancing
Eight maids amilking
Seven swans aswimming
Six geese alaying
Five gold rings
Four calling birds
Three French hens
Two turtle doves
A partridge in a pear treeAfter the twelve days of Christmas are over, how many presents has my true love sent me altogether?
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Say you have some bendable wires (any number, any length). What is the minimum number of solder connections needed to make a cube? Prove it. Also, what is the minimum number of wires necessary? Prove it.
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