Shandel went to the County Fair this summer and was surprised to see a math game on the midway among the games of skill and chance.
Picture of a Midway BarkerIn the game, the barker starts by thinking of a math rule or calculation. The player spins a number wheel to get her number, and the barker mentally applies his calculation to that number and quickly calls out the answer. They do this three times, with the barker writing down each pair of numbers for all to see.
The player spins one last time to get a fourth number. The barker then writes his answer down on a hidden board. To win the prize, the player has to correctly predict the number that the barker has written down.
Shandel gave it a try, and here are the results of her first three spins:
First = 3 to 1
Second = 15 to 25
Third = 7 to 9
On her fourth spin, Shandel got a 12 and was able to correctly predict the barker's answer and win the game.
What number did she predict?
All the rules are the same please help me!
To determine the number that Shandel predicted, we need to analyze the given information and identify the math rule or calculation that the barker is applying to each spin.
Let's break down the given information:
First Spin: The barker mentally applies a calculation to the number spun.
Result: 3 to 1
Second Spin: The barker mentally applies a calculation to the number spun.
Result: 15 to 25
Third Spin: The barker mentally applies a calculation to the number spun.
Result: 7 to 9
To find the math rule or calculation, we can look for patterns or relationships between the numbers in each result.
In the first result, we see that the second number (1) is 1/3 of the first number (3).
In the second result, we can observe that the second number (25) is 5 times the first number (5 x 3 = 15).
In the third result, we notice that the second number (9) is the first number (7) plus 2.
Now, let's apply this knowledge to the fourth spin:
Fourth spin: Shandel gets a 12.
To correctly predict the barker's answer, we need to apply the same math rule or calculation to this number.
Using our findings from the previous spins:
12 times 5 is 60.
12 plus 2 is 14.
12 divided by 3 is 4.
Considering these options, it seems that the most consistent math rule used by the barker is to multiply the spun number by 4. Let's test this hypothesis:
Fourth spin (12) multiplied by 4 gives us 48.
Therefore, the number that Shandel predicted is 48.
To win the game, she correctly predicted that the barker's answer would be 48.