The table shows the number of seashells collected by 3 boys.

  1. (a)

    Express the total number of seashells the 3 boys have in terms of x in the simplest form.

    Ans : (a) ___

  2. (b)

    If the average number of seashells the 3 boys collected is 39, what is the value of x?

    Ans : (b) ___

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Worked solution

7(a)

1. Form an expression for the total number of seashells

Total=17+x+(6x−5)\text{Total} = 17 + x + (6x - 5)

2. Simplify the algebraic expression

Total=x+6x+17−5=7x+12\text{Total} = x + 6x + 17 - 5 = 7x + 12

Answer

7x+127x + 12

7(b)

1. Calculate the total number of seashells from the given average

Total seashells=39×3=117\text{Total seashells} = 39 \times 3 = 117

2. Set up and solve the equation for $x$

From part (a), the total is 7x+127x + 12.
7x+12=1177x + 12 = 117
7x=117−127x = 117 - 12
7x=1057x = 105
x=1057=15x = \frac{105}{7} = 15

Answer

1515

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