1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
quester [9]
3 years ago
14

A merchant bought some shirts for $120. The next day the price charged for each shirt was reduced by $1. The merchant calculated

that, at the sale price, he could have bought 10 more shirts for $120. How many shirts did he buy originally?
Mathematics
1 answer:
Goshia [24]3 years ago
6 0

Answer:

The merchant buys 30 shirts originally.

Step-by-step explanation:

Let us assume that the merchant bought x numbers of shirts in $120.

So, the cost for each shirt is $\frac{120}{x}.

Now, if the cost for each shirt is reduced by 1$, then he would have bought 10 shirts more i.e. (x + 10) shirts in $120.

So, we can write the following equation as  

(\frac{120}{x} - 1)(x + 10) = 120

⇒(120 - x)(x + 10) = 120x

⇒ 120x - 10x + 1200 - x² = 120x

⇒ x² +10x - 1200 = 0

⇒ x² + 40x - 30x - 1200 = 0

⇒(x + 40)(x - 30) = 0

⇒ x = - 40 or x = 30

But x can not be negative.

Hence, the merchant buys 30 shirts originally. (Answer)

You might be interested in
Simplify the variable expression below as much as possible.<br> 3x + 2y + 5-3
agasfer [191]

Answer:

3x+2y+2=0

3x=-2y-2

x=-(2y+2)/3

Step-by-step explanation:

8 0
2 years ago
Bonjour à tous, pouvez vous m'aider à trouver la réponse pour cette "question ouverte" svp?
AlekseyPX

La solution:

625 cm^2.

Explication étape par étape:

Si la forme est rectangulaire, elle aura la plus grande superficie possible quand la longueur équivaut à la largeur. Pour avoir un périmètre de 100 cm, cela signifie que chaque côté doit faire 25 cm.

La superficie serait alors de 25 cm x 25 cm = 625 cm^2.

8 0
2 years ago
PLEASE HELP ILL MARK BRAINLIEST AND GIVE 5 STATS AND LIKE IT PLEASE
Dahasolnce [82]

Answer:

36÷3÷2÷3=2

Step-by-step explanation:

8 0
2 years ago
I need help. I don't understand ​
ycow [4]
Add them all together
5 0
2 years ago
Three ratios equivalent to 11/1
Damm [24]

Answer:

21 2

33 3

44 4

Step-by-step explanation:

think of them as equivalent fractions

8 0
3 years ago
Read 2 more answers
Other questions:
  • .35 times .7 pls show work.
    15·2 answers
  • What additional information would prove that LMNP is
    13·1 answer
  • What is the answer and working out to 5 x 5/6?
    13·1 answer
  • Plz help bro I’ve asked this so many times
    15·1 answer
  • Find f(-1) if f(x)=3x^3 + 5x^2
    8·1 answer
  • What is 11 -2/11 plz answer this
    12·2 answers
  • 1% defective parts. 100,00 parts made in total. The number of defects made should equal?
    7·1 answer
  • Help me out <br>Answer required ​
    6·1 answer
  • Stop giving me the same answer!!!!!
    8·1 answer
  • A(-1, 3), B(2, 2), and C(3, -6). If the triangle is translated 5 units to the right, what are the coordinates of A'?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!