Every week, Ailing saves 2m,Balasaves2m, Bala saves (m + 5) and Carrie saves $(3m - 2).

  1. (a)

    Find the average weekly savings of the three children in terms of m.

  2. (b)

    Find the average savings of the 3 children when m = 4.

    Ans: (b) ___

  3. (c)

    Each statement is either true, false or impossible to tell from the information given. Put a tick (√) to indicate your answer.

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Worked solution

11(a)

1. Find the total weekly savings of the three children

Total savings=2m+(m+5)+(3m−2)\text{Total savings} = 2m + (m + 5) + (3m - 2)
=6m+3= 6m + 3

2. Calculate the average weekly savings

Average savings=6m+33\text{Average savings} = \frac{6m + 3}{3}
=2m+1= 2m + 1

Answer

(2m+1)(2m + 1)

11(b)

1. Substitute $m = 4$ into the expression for average savings

From part (a), the average savings is 2m+(m+5)+(3m−2)3=6m+33=2m+1\frac{2m + (m + 5) + (3m - 2)}{3} = \frac{6m + 3}{3} = 2m + 1.
When m=4m = 4,
Average savings=2(4)+1=8+1=9\text{Average savings} = 2(4) + 1 = 8 + 1 = 9

Answer

$9

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