The cost of $1$ chart paper is $₹ 5$ and $1$ marker pen is $₹ 18$ . Neeta needs to buy $6$ chart papers and $6$ marker pens. So, how much money does she need? Also, show the method of solving this problem using suitable property.

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Solution

Finding the money needed:
Cost of $1$ chart paper is $₹ 5$
Cost of $6$ chart papers is $₹ 5 \times 6$
Cost of $1$ marker pen is $₹ 18$
Cost of $6$ marker pens is $₹ 18 \times 6$
Total cost of $6$ chart papers and $6$ marker pens is $₹ 5 \times 6 + ₹ 18 \times 6$
By using distributive property for addition,
$a×b+a×c=a×(b+c)$ , we get
$\begin{array}{rcl} ₹ 5 \times 6 + ₹ 18 \times 6 & = & 6 \times (5 + 18) \\ = & 6 \times 23 \\ = & ₹ 138 \end{array}$
Hence, the total cost of $6$ chart papers and $6$ marker pens is $₹ 138$
Hence, Neeta needs $₹ 138$ to buy $6$ chart papers and $6$ marker pens and the method of solving this problem is distributive property.

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