<PRE><B>Question 1204626</B>
In a shop, the price of a monthly magazine is $m and the price of a weekly magazine is $(m-0.75). One day, the shop receives $168 from selling monthly magazines and $207 from selling weekly magazines. The total number of these magazines sold during this day is 100. Calculate the number of weekly and monthly magazines sold.


the price of a monthly magazine is $m
 the shop receives $168 from selling monthly magazines
Therefore number of monthly magzines sold is 168/m

the price of a weekly magazine is $(m-0.75)
 $207 from selling weekly magazines. 
Therefore number of weekly magzines sold is 207/(m-0.75)

 The total number of these magazines sold during this day is 100. 

168/m  +207/(m-0.75)=100

Multiply the equation m(m-0.75)

168*(m-0.75) + 207*m= 100m(m-0.75)

168m-126+207m= 100m^2-75m
375m-126=100m^2-75m

100m^2-450m+126=0

solve 
m= 4.2 or 0.3

0.3 not possible

m=4.20
Therefore number of monthly magzines sold is 168/4.20=40



(m-0.75) = 3.45
Therefore number of weekly magzines sold is 207/3.45 =60


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