Hint
This is quite a tricky puzzle, and knowledge of algebra would certainly help.
Answer
The children tickets were £14, and the adult tickets were £18.
Reasoning
There are a number of methods for solving this problem, including:
Using a spreadsheet.Using a computer program.Using the intersection of lines on a graph.Using an online equation solver.Solving simultaneous equations using algebra.Solving simultaneous equations using inverse matrices.
Here is my solution using simultaneous equations and algebra.
First construct two algebraic equations, where 'c' is the number of children, and 'a' is the number of adults:
4296c + 2143 x 18 = 98718 4296c + 38574 = 98718 4296c = 60144 c = 14
Double-Checking
c = 14 and a = 18
4,296 x 14 + 2,143 x 18 = 98,718
and
5,146 x 14 + 2,807 x 18 = 122,570
??
Puzzle 2
Below are ten everyday words, each of which has had some letters removed. The letters removed form either a boy's or a girl's name.
For example, if the word was PAN---IME, the answer might be PANTOMIME. Can you determine the original words?
demi----
---ple
absor---t
he---che
sc----r
----ionaire
break---ce
monog---
-----incense
s---ly
Answer
demi---- + john = demijohn
---ple + sam = sample
absor---t + ben = absorbent
he---che + ada = headache
sc----r + anne = scanner
----ionaire + bill = billionaire
break---ce + dan = breakdance
monog--- + amy = monogamy
-----incense + frank = frankincense
s---ly + mel = smelly
?
Puzzle 3
Many years ago, a cruise liner sank in the middle of the ocean.
The castaways luckily landed on a remote desert island.
There was enough food for the 220 people to last three weeks.
Six days later a rescue ship appeared, unluckily this ship also sank, leaving an additional 55 people stranded on the island to now share the original rationed food.
The food obviously had to be re-rationed, but everyone was now on one-half of the original ration, so how many days in total would the food last for, from the day of the original sinking?
