Theres a contenst in a class with Marbles in a Jar. First place prize was 135 marbles. Second place was 150 marbles. Third place was 152 marbles and fourth place was 131 marbles.

How many total marbles are in this Jar. please answer this and how to come up with answer.

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1 Answer

Problem: math question
Theres a contenst in a class with Marbles in a Jar. First place prize was 135 marbles. Second place was 150 marbles. Third place was 152 marbles and fourth place was 131 marbles.
How many total marbles are in this Jar. please answer this and how to come up with answer.
Thank You

The way the problem is stated, the First Place guess and the Second Place guess
must bracket the actual number. The difference between the two is 15. Split that
into 7 and 8. Identify the number that is 7 from the first place guess, and 8
from the second place guess.

135 + 7 = 142
150 - 8 = 142

Using that as the assumed number of marbles, calculate the differences from that
number to the Third Place and Fourth Place guesses.

152 - 142 = 10    3rd
142 - 141 = 11    4th

Place   Guess    Off by
   1        135          7
   2        150          8
   3        152        10
   4        131        11

Answer: there are 142 marbles in the jar

 

by Level 11 User (78.4k points)

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