Maths-
SAT
Easy

Question


Masses (kilograms)

Andrew

2.4

2.5

3.6

3.1

2.5

2.7

Maria

x

3.1

2.7

2.9

3.3

2.8

Andrew and Maria each collected six rocks, and the masses of the rocks are  shown in the table above. The mean of the masses of the rocks Maria collected is 0.1 kilogram greater than the mean of the masses of the rocks Andrew collected. What is  the value of x ?

The correct answer is: 2.6


    The mean of the masses of the rocks Andrew collected= fraction numerator 2.4 plus 2.5 plus 3.6 plus 3.1 plus 2.5 plus 2.7 over denominator 6 end fraction equals fraction numerator 16.8 over denominator 6 end fraction equals 2.8
    The mean of the masses of the rocks Maria collected = fraction numerator x plus 3.1 plus 2.7 plus 2.9 plus 3.3 plus 2.8 over denominator 6 end fraction equals fraction numerator left parenthesis x plus 14.8 right parenthesis over denominator 6 end fraction
    Since the mean of the masses of the rocks Maria collected is 0.1 kilogram greater than the means of the masks of the rocks Andrew collected
    fraction numerator x plus 14.8 over denominator 6 end fraction equals 0.1 plus 28
    fraction numerator x plus 14.8 over denominator 6 end fraction equals 2.9
    x + 14.8 = 2.9 x 6
    x + 14.8 = 17.4
    x = 17.4 – 14.8
    x = 13 over 5 = 2.6

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