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
Nikitich [7]
2 years ago
9

14. A sum of $2700 is to be given in the form of 63 prizes. If the prize is of

Mathematics
2 answers:
bezimeni [28]2 years ago
8 0

Answer:

  • 15 at $100
  • 48 at $25

Step-by-step explanation:

Let x represent the number of higher-value ($100) prizes. Then (63-x) is the number of $25 prizes. The total value of the prizes is ...

  100x +25(63 -x) = 2700

  75x = 1125 . . . . . . . . . subtract 1575 and simplify

  x = 15 . . . . . . . . . divide by 75; number of $100 prizes

  63-x = 63 -15 = 48 . . . . number of $25 prizes

There are 15 $100 prizes and 48 $25 prizes.

aliina [53]2 years ago
7 0

Answer:

$100 prize = 15, $25 prize = 48

Step-by-step explanation:

Let,

$100 prize = x

$25 prize = y

=> x + y = 63 (1)

=> 100x + 25y = 2700 (2)

=> 100x/25 + 25y/25 = 2700/25

=> 4x + y = 108 (3)

On subtracting 2 and 3

=> 4x + y - (x + y) = 108 - 63

=> 4x + y - x - y = 45

=> 3x = 45

=> x = 15

=> 15 + y = 63

=> y = 63 - 15

=> y = 48

You might be interested in
Graphically, a point is a solution to a system of two inequalities if and only if the point lies in the shaded region of the top
SOVA2 [1]

Answer:

  lies in the shaded regions of both the top and bottom inequalities

Step-by-step explanation:

For a point to be a solution of two inequalities, it must lie in both solution sets. It ...

  lies in the shaded regions of both the top and bottom inequalities

6 0
3 years ago
Read 2 more answers
What is the number form of 26.96 million?
Alik [6]
For example:  26 million = 26,000,000 and 0.96 million = 960,000.
Answer:
26.96 million = 26,960,000
Thank you.
4 0
3 years ago
If a sector in a circle of radius 14 has an area of 10 pi what is the measure of the central angle that forms the sector?
Marianna [84]
25 sec. si your answer to this question
3 0
3 years ago
Ms. Estrada plans to take 36 chocolate chip cookies to sell at a bake sale. She wants to bake enough to keep at least 24 cookies
Kruka [31]

Answer:

36-x≥24

Step-by-step explanation:

4 0
2 years ago
The sum of two integers is 2. Their difference is 10.
lesantik [10]
The two integers are D. -4 and 6
7 0
3 years ago
Other questions:
  • Jonah studied for 3 hours longer than sierra he also studied for 3 times as many hours as william. these relationships are shown
    7·1 answer
  • Joyce Meadow pays her three workers $160, $470, and $800, respectively, per week. Calculate what Joyce will pay at the end of th
    15·1 answer
  • Solve for x. C=x+a/b
    14·1 answer
  • It takes the chef 3 hours to bake a turkey.
    14·2 answers
  • Xavier and Bobby each receive a salary check every week. They combine their checks in one account. After 1 week, the balance in
    7·1 answer
  • Find the values of x and y
    11·1 answer
  • Which expressions are equivalent to the one below? Check all that apply.
    6·2 answers
  • Find the unknown measures ​
    9·1 answer
  • #2. A field of grass feeds 36 cows for 4 days. How<br> many days would the same field feed 20 cows?
    12·1 answer
  • Find measure FGH circles unit
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!