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
Levart [38]
3 years ago
11

The town recreation department ordered a total of 100 baseballs and bats for the summer.Baseballs cost $4.50 each and bats cost

$20 each. The total purchase was $822. How many of each item was ordered.
Mathematics
1 answer:
Romashka [77]3 years ago
5 0

Answer:

The town recreation department ordered 66 baseballs and 24 bats.

Step-by-step explanation:

Let the number of baseball be 'x'.

Also Let the number of bats be 'y'.

Given:

Total items bought = 100

Now we can say that;

Total items bought is equal to sum of number of baseball and number of bats.

Framing in equation form we get;

x+y =100 \ \ \ \ equation \ 1

Also Given:

Cost of each baseball = $4.50

Cost of each bat = $20

Total purchase = $822

Now we can say that;

Total Purchase is equal to to sum of number of baseball multiplied by Cost of each baseball and number of bats multiplied by Cost of each bat.

framing in equation form we get;

4.5x+20y =822 \ \ \ \ equation\ 2

Multiplying equation 1 by 4.5 we get;

4.5(x+y) =100\times4.5\\\\4.5x+4.5y = 450 \ \ \ \ equation \ 3

Now Subtracting equation 3 from equation 2 we get;

(4.5x+20y)-(4.5x+4.5y) = 822-450\\\\4.5x+20y-4.5x-4.5y =372\\\\15.5y = 372

Dividing both side by 15.5 we get;

\frac{15.5y}{15.5}= \frac{372}{15.5}\\  \\y =24

Substituting the value of y in equation 1 we get;

x+y =100\\\\x+24 =100\\\\x =100-24 =66

Hence the town recreation department ordered 66 baseballs and 24 bats.

You might be interested in
The intersection of two planes is _____ a line.<br><br> Always<br> Sometimes <br> Never
Nezavi [6.7K]
The intersection of two planes is always a line
8 0
2 years ago
Read 2 more answers
HELP PLEASE!!!!!!!!​
marusya05 [52]
The angles of a triangle add up to 180 degrees

180 - 80 = 100

Both of the unknown angles are the same. So...


100/2= 50

X = 50 degrees
7 0
3 years ago
X^ 3 +x^ 2 +4x/x^ 2 +x-2<br>into partial<br>fractions​
lawyer [7]

Answer:

x + (4/ x-2) + (2/ x-1)

Step-by-step explanation:

x + (6x/ x^2 + 2x - x -2)

x + (6x/ (x + 2) X (x - 1))

(6x/ (x + 2) X (x - 1))

(A/ x+2) + (B/ x-1)

(6x/ (x + 2) X (x - 1)) = (A/ x+2) + (B/ x-1)

6x = Ax + Bx - A + 2B

6x = (A+B)x + (-A+2b)

{0 = -A+2B

{6 = A+B

(A,B) = (4, 2)

(4/ x+2) + (2/ x-1)

x + (4/ x-2) + (2/ x-1)

6 0
3 years ago
The product of two numbers is 40. If one of the numbers is 8/15, what is the other number?
Harman [31]
If one number is 8/15, you take the difference which 7/15.
5 0
3 years ago
Evaluate 6(b - 3) + c; for b = 5 and c = 8
bulgar [2K]

Answer:

20

Step-by-step explanation:

given:

b=5

c=8

6(b-3)+ c

6(5-3)+8

6(2)+8

12+8

20

other method

6(b-3)+c

6b-18+8

30-18+8

12+8

20

4 0
2 years ago
Read 2 more answers
Other questions:
  • Help me solve this pleasee
    7·1 answer
  • What is the definition for associative property of multiplication in your own words and explain how you would use it to compute
    14·2 answers
  • Name a slave state which chose to stay in the union and didn’t join the confederacy? *URGENT*
    14·1 answer
  • Explain the areas in which you will find integration to be significant in your day to day work as an EHT.
    12·1 answer
  • What is a unit rate?​
    14·1 answer
  • Y=−2x+4<br> Complete the missing value in the solution to the equation.<br><br> (____,-2)
    13·2 answers
  • Solve BCD. Round the answers to the nearest hundredth, if necessary.
    15·1 answer
  • Which expression is a factor of 1872 – 152 + 2?
    9·1 answer
  • Plss help me plsss!!​
    12·2 answers
  • The following table shows the salary of 7 people in an office last year. Name Income Andy £9500 Bevan £30000 Cheryl £11250 Deva
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!