Question

Maureen spent sh 207to buy 7 exercise books and 4 pens while Sharon spent sh 165 to buy 5 exercise books and 5 pens of same type.Find the cost of each item

Answer 1

Ex Book = 25sh

Pen = 8sh

Explanation:

if Sharon Bought 5 exercise books and 5 pens for 165,

then

5x +5p = 165

5(x+p) = 165

x+p = 33

So, the possible values of x and p are:

23,8

24,7

25, 8

Use trial and error, and you will find that 25 and 8 are the correct pair of costs.

So, exercise book costs 25sh and pens cost 8 sh

Hope this helps

Answer 2

The cost of each exercise book is 25 sh.

The cost of each pen is 8 sh.

Explanation:

Write down the system of equations and then solve.

`\begin{bmatrix}7b+4p=207\\ 5b+5p=165\end{bmatrix}\\\\\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\\\\b=25,\:p=8`

Best Regards!