Mike and Stev had 620 bucks each to spend . Mike used all his money to buy 3pens and 4books,while Stev bought 4pens and 3books and had a balance of 50 bucks.Find the cost of a pen and book.


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Question Number 40057 by Rio Mike last updated on 15/Jul/18

$M i k e a n d S t e v h a d 620 b u c k s$ $e a c h t o s p e n d . M i k e u s e d a l l$ $h i s m o n e y t o b u y 3 p e n s a n d$ $4 b o o k s, w h i l e S t e v b o u g h t$ $4 p e n s a n d 3 b o o k s a n d h a d a$ $b a l a n c e o f 50 b u c k s . F i n d$ $t h e c o s t o f a p e n a n d b o o k .$
	Answered by MJS last updated on 16/Jul/18

	$3 p + 4 b = 620 \Rightarrow p = \frac{620 - 4 b}{3}$ $4 p + 3 b = 570 \Rightarrow p = \frac{570 - 3 b}{4}$ $4 (620 - 4 b) = 3 (570 - 3 b)$ $2480 - 16 b = 1710 - 9 b$ $770 = 7 b$ $b = 110$ $p = \frac{620 - 440}{3} = 60$
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