tow type creams are in a box that one type of these have 25gr mass and another ones have 37gr mass, if the total mass of those is 870gr then find the number of each type of creams.


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Question Number 192046 by sciencestudentW last updated on 06/May/23

$t o w t y p e c r e a m s a r e i n a b o x t h a t o n e$ $t y p e o f t h e s e h a v e 25 g r m a s s a n d a n o t h e r$ $o n e s h a v e 37 g r m a s s, i f t h e t o t a l m a s s$ $o f t h o s e i s 870 g r t h e n f i n d t h e n u m b e r$ $o f e a c h t y p e o f c r e a m s .$
	Answered by Skabetix last updated on 06/May/23

	$37 \times 10 + 20 \times 25 = 870$ $\to 20 o f t y p e 1 a n d 10 o f t y p e 2$
	Commented by sciencestudentW last updated on 07/May/23

	$i f t h e t o t a l n u m b e r o f c r e a m s a r e 30 i n$ $a b o x t h e n h o w w e c a n s o l v e b y e q u a t i o n ?$
	Answered by Skabetix last updated on 07/May/23

	$W e h a v e 25 x + 37 y = 870 a n d x + y = 30$ $\Leftrightarrow x = 30 - y$ $\Leftrightarrow 25 (30 - y) + 37 y = 870$ $\Leftrightarrow 750 - 25 y + 37 y = 870$ $\Leftrightarrow 12 y = 870 - 750 = 120$ $\Leftrightarrow y = \frac{120}{12} = 10$ $x + y = 30$ $\Leftrightarrow x + 10 = 30$ $x = 30 - 10 = 20$ $\to 20 o f t y p e 1 a n d 10 o f t y p e 2$
	Commented by sciencestudentW last updated on 07/May/23

	$t h a n k s a l o t$
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