mot came from Bagel's Best Friend Co. than from Supe & Sons. How many tons of cream cheese came from each supplier? chased a total of 36 tons. 170 by 1 11. Pest Control Halmar the Great has boasted to his hordes of lo followers that many a notorious villain has fallen to his awesome sword: His total of 560 victims consists of evil with cate sorcerers, trolls, and orcs. These he has slain with a total of TAirlin 620 mighty thrusts of his sword, evil sorcerers and trolls mo ing tabl to fly on Set up e each requiring two thrusts (to the chest) and orcs each of requiring one thrust (to the neck). When asked about the number of trolls he has slain, he replies, "I, the mighty Halmar, despise trolls five times as much as I despise evil sorcerers. Accordingly, five times as many trolls as evil sor- cerers have fallen to my sword!" How many of each type of [HINT: S Airli villain has he slain? Cost 12. Manufacturing Perfume The Fancy French Perfume Com- pany recently had its secret formula divulged. It turned out that it was using, as the three ingredients, rose oil, oil of fer- mented prunes, and alcohol. Moreover, each 22-ounce econo-size bottle contained 4 more ounces of alcohol than oil 15. ▼ fli to U. of fermented prunes, while the amount of alcohol was equal to the combined volume of the other two ingredients. How much of each ingredient did the company use in an econo- size bottle?!5 famous eau de cologne.] ai [HINT: The answer is the brand-name of a 16. ▼ 13. Donations The Enormous State University Good Works Society recently raised funds for three worthwhile causes: the Math Professors' Benevolent Fund (MPBF), the Soci- ety of Computer Nerds (SCN), and the NY Jets. Because the society's members are closet jocks, the society donated twice as much to the NY Jets as to the MPBF, and it donated equal amounts to the first two funds. (It is unable to distin guish between mathematicians and nerds.) Further, for 20 ha Inves times delive gory the st every $1 it gave to the MPBF. it decided

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Number 12

mot
came from Bagel's Best Friend Co. than from Supe
& Sons. How many tons of cream cheese came from each
supplier?
chased a total of 36 tons.
170
by 1
11. Pest Control Halmar the Great has boasted to his hordes of
lo followers that many a notorious villain has fallen to his
awesome sword: His total of 560 victims consists of evil
with
cate
sorcerers, trolls, and orcs. These he has slain with a total of TAirlin
620 mighty thrusts of his sword, evil sorcerers and trolls
mo
ing tabl
to fly on
Set up e
each requiring two thrusts (to the chest) and orcs each
of
requiring one thrust (to the neck). When asked about the
number of trolls he has slain, he replies, "I, the mighty
Halmar, despise trolls five times as much as I despise evil
sorcerers. Accordingly, five times as many trolls as evil sor-
cerers have fallen to my sword!" How many of each type of
[HINT: S
Airli
villain has he slain?
Cost
12. Manufacturing Perfume The Fancy French Perfume Com-
pany recently had its secret formula divulged. It turned out
that it was using, as the three ingredients, rose oil, oil of fer-
mented prunes, and alcohol. Moreover, each 22-ounce
econo-size bottle contained 4 more ounces of alcohol than oil
15. ▼
fli
to
U.
of fermented prunes, while the amount of alcohol was equal
to the combined volume of the other two ingredients. How
much of each ingredient did the company use in an econo-
size bottle?!5
famous eau de cologne.]
ai
[HINT: The answer is the brand-name of a
16. ▼
13. Donations The Enormous State University Good Works
Society recently raised funds for three worthwhile causes:
the Math Professors' Benevolent Fund (MPBF), the Soci-
ety of Computer Nerds (SCN), and the NY Jets. Because
the society's members are closet jocks, the society donated
twice as much to the NY Jets as to the MPBF, and it donated
equal amounts to the first two funds. (It is unable to distin
guish between mathematicians and nerds.) Further, for
20
ha
Inves
times
delive
gory
the st
every $1 it gave to the MPBF. it decided
Transcribed Image Text:mot came from Bagel's Best Friend Co. than from Supe & Sons. How many tons of cream cheese came from each supplier? chased a total of 36 tons. 170 by 1 11. Pest Control Halmar the Great has boasted to his hordes of lo followers that many a notorious villain has fallen to his awesome sword: His total of 560 victims consists of evil with cate sorcerers, trolls, and orcs. These he has slain with a total of TAirlin 620 mighty thrusts of his sword, evil sorcerers and trolls mo ing tabl to fly on Set up e each requiring two thrusts (to the chest) and orcs each of requiring one thrust (to the neck). When asked about the number of trolls he has slain, he replies, "I, the mighty Halmar, despise trolls five times as much as I despise evil sorcerers. Accordingly, five times as many trolls as evil sor- cerers have fallen to my sword!" How many of each type of [HINT: S Airli villain has he slain? Cost 12. Manufacturing Perfume The Fancy French Perfume Com- pany recently had its secret formula divulged. It turned out that it was using, as the three ingredients, rose oil, oil of fer- mented prunes, and alcohol. Moreover, each 22-ounce econo-size bottle contained 4 more ounces of alcohol than oil 15. ▼ fli to U. of fermented prunes, while the amount of alcohol was equal to the combined volume of the other two ingredients. How much of each ingredient did the company use in an econo- size bottle?!5 famous eau de cologne.] ai [HINT: The answer is the brand-name of a 16. ▼ 13. Donations The Enormous State University Good Works Society recently raised funds for three worthwhile causes: the Math Professors' Benevolent Fund (MPBF), the Soci- ety of Computer Nerds (SCN), and the NY Jets. Because the society's members are closet jocks, the society donated twice as much to the NY Jets as to the MPBF, and it donated equal amounts to the first two funds. (It is unable to distin guish between mathematicians and nerds.) Further, for 20 ha Inves times delive gory the st every $1 it gave to the MPBF. it decided
Expert Solution
Step 1

Let, 

amount of rose oil = x

oil of fermented prunes = y

alcohol = z

Given,

x+y+z = 22

and z = y+4 or y = z-4

and z = x+y 

Step 2

using z = y+4, we have y = z-4

Now, using z = x+y, we have 

z = x + z-4 

or, z-z = x-4

or 0 = x-4

or x = 4

Using x+y+z = 22 and z = x+y, we have z+z = 22, or 2z = 22, z = 11

Now, y = z-4 = 11-4 = 7

 

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