the average temeperature in mercara from monday to thursday was 35 degree centigrade and from tuesdat to frriday was 38 degree centigrade . find the temperatures on monday and friday, if the ratio of temperatures on these two days is 5:7.

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Solution

dear student

let the temperature of monday and friday be 5x and 7x

then

$a n d l e t t h e s u m o f t e m p e r a t u r e s f r o m t u e s d a y t o t h u r s d a y b e y a v e r a g e t e m e p e r a t u r e i n m e r c a r a f r o m m o n d a y t o t h u r s d a y w a s 35 d e g r e e c e n t i g r a d e 35 = \frac{5 x + y}{4} a v e r a g e t e m e p e r a t u r e i n m e r c a r a f r o m t u e s d a y t o f r i d a y w a s 38 d e g r e e c e n t i g r a d e 38 = \frac{7 x + y}{4} 5 x + y = 140 7 x + y = 152 s u b t r a c t i n g w e g e t 2 x = 12 x = 6 t e m p e r a t u r e o n m o n d a y a n d f r i d a y = 30, a n d 42$

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