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
Romashka [77]
2 years ago
8

Pixel goes shopping with one hundred dollars and ends up buying three different types of items: A, B, and C. The unit price of A

is five dollars, B is 25 cents, and C is five cents. Pixel comes home and finds that all the money had been spent, but discovers that the total number of items is exactly equal to100. How many items of each kind did Pixel buy? No fractions allowed. (Spend exactly 100 dollars and buy a total of 100 items)
Mathematics
1 answer:
mixas84 [53]2 years ago
5 0

Answer:

  • A - 16, B - 79, C - 5

Step-by-step explanation:

<u>Given</u>

  • A costs 5$
  • B costs  $0.25
  • C costs $0.05
  • A + B + C = 100
  • 5A + 0.25B + 0.05C = 100 ⇒ 100A + 5B + C = 2000

<u>Subtract the first equation from the second:</u>

  • 99A + 4B = 1900

<u>We have a restriction in numbers:</u>

  • 0 < A, B, C < 100

<u>Since 4B can be max 400, we get 99A > 1500  and 99A < 1900 so:</u>

  • A > 1500/99 > 15

and

  • A < 1900/99 < 19

A can be 16 or 18 as it should be even number to get B the whole number.

<u>If A = 16:</u>

  • 99*16 + 4B = 1900
  • 4B = 1900 - 1584
  • 4B = 316
  • B = 316/4 = 79

<u>If A = 18:</u>

  • 99*18 + 4B = 1900
  • 4B = 1900 - 1782
  • 4B = 118
  • B = 118/4 = 29.5, discarded as decimal

<u>So we get:</u>

  • A = 16, B = 79 and C = 100 - (16 + 79) = 5

<u>Let's proof the numbers:</u>

  • 16*5 + 79*0.25 + 5*0.05 = 100, confirmed

You might be interested in
Given f(x)=x^2-4x+5, what's the value when f(2)
Reil [10]

If you were to replace the x's with 2, your equation would turn into:

(2)^2-4(2)+5

From there, you'd just solve.

4-8+5=1

Your answer would be 1.

7 0
3 years ago
PLEASE HELP ME?!
slavikrds [6]
87 square units hope that this helped
4 0
3 years ago
Read 2 more answers
Find all real eighth roots of 72.089. Round to the nearest thousandth
Svetradugi [14.3K]
I would say that <span> <span> <span> 1.7070004089  </span> </span> </span> is the only eighth root of 72.089.

72.089^(1/8) = <span> <span> <span> 1.7070004089 </span> </span> </span>

6 0
3 years ago
Which of the following is the inverse y=3x
Nitella [24]
To find an inverse, switch the x and the y and solve for the new y.  Yours switched is x = 3y.  Now solving for y we divide both sides by 3 to get y = x/3
3 0
3 years ago
Well give brainlist and free point.help me with this
Alika [10]
The Pringle’s is 2.77$ per cup and the and the frito Lays are 2.82$ per cup so the pringle’s is less cost per cup
8 0
3 years ago
Read 2 more answers
Other questions:
  • The product of two numbers is 32. The first number, x, is one-half of the second number, y. Which system of equations can be use
    9·2 answers
  • Write an equation in<br> point-slope form of the line that passes through (4,1),(-2,7)
    7·1 answer
  • HELP ASAP PLEASE<br> What is the length of ?<br><br> 10.5<br> 4<br> 10<br> 6
    8·1 answer
  • Which land forms are formed by wind deposition in the desert region?​
    7·2 answers
  • What is the mixed number 1 3/5 written as an improper fraction
    5·2 answers
  • Please PLEASE HELPPP!!!!!!
    7·1 answer
  • 8 1/3 divided by 4 2/7 <br> plsss help me!!!
    10·1 answer
  • 75 kilometers in 5 minutes is how many per minute
    6·2 answers
  • 20 is 4/7 of what number?
    14·1 answer
  • A bag contains: • 5 red marbles •6 blue marbles •3 green marbles •4 black marbles • 2 yellow marbles. A marble will be drawn fro
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!