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-

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

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