Question 1204626: 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.
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website! 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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