SOLUTION: 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 selli
Algebra.Com
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
RELATED QUESTIONS
The original price of gift pack is A discount of 15% is allowed in shop. What is sale... (answered by ewatrrr)
A fashion magazine claims that females like to “shop” more than males. In interviews with (answered by stanbon)
a man started selling magazine subscriptions he sold twice as many each day over the day... (answered by robertb)
a pro shop in a bowling center decreases the price of a urethane bowling ball by 22% to a (answered by rfer)
At a certain flower shop, the price of a tulip is half the average price of the other... (answered by stanbon,macston)
Famanda collects magazine that are printed monthly. each magazine is 5 millimeters thick, (answered by Cromlix)
A shop sells calculators and phones.
2/3 of the calculators is equal to 6/11 of the... (answered by greenestamps)
All the products in a shop are on sale at a 20% discount if a customer is a member of... (answered by Boreal)
The number of pages in a magazine was increased from 48 to 80. If the price, which was... (answered by TimothyLamb)