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
Gennadij [26K]
3 years ago
11

A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes.

Each small box can hold 20 books and each large box can hold 40 books. A total of 8 boxes were sent which can hold 260 books altogether. Determine the number of small boxes sent and the number of large boxes sent.
Mathematics
1 answer:
mote1985 [20]3 years ago
3 0

Answer:

5 large boxes

3 small boxes

Step-by-step explanation:

Create two equations to represent the problem.

let "a" be the number of small boxes

let "b" be the number of large boxes

20a + 40b = 260    This equation shows the numbers of books

a + b = 8                  This equations shows the number of boxes

Solve the system of equations (solve for a and b). We can solve using the substitution method.

Rearrange a + b = 8 to isolate one of the variables.

a = 8 - b    New equation that represents "a"

Since we know an equation for "a", we can substitute what "a" equals into the other equation. There will only be one variable in the equation, so we can solve by isolating. Isolate by doing reverse operations.

Substitute "a" for 8 - b

20a + 40b = 260

20(8 - b) + 40b = 260     Distribute 20 over the brackets by multiplying

160 - 20b + 40b = 260    Collect like terms (numbers with same variables)

160 + 20b = 260    Start isolating "b". Subtract 160 from both sides

20b = 260 - 160

20b = 100    Divide both sides by 20

b = 5    Number of large boxes

Substitute "b" for 5 in the simplest equation

a + b = 8

a + 5 = 8      Subtract 5 from both sides to isolate "a"

a = 8 - 5    

a = 3      Number of small boxes

Therefore there were 5 large boxes and 3 small boxes sent.

You might be interested in
Domain, and y intercept of function in image
kkurt [141]
24 hurry is that one in my but
3 0
3 years ago
Pls someone help me with part b and their is 5.6 acres
kramer
$0.03+$0.04=$0.15x4=$0.60
6 0
3 years ago
Please help
iren2701 [21]
For question 1:
1% = 120 ÷ 100 = 1.2
15% = 1.2 × 15 = 18
So, 15% of 120 is 18

For question 2:
68.4 ÷ 72 = 0.95
0.95 × 100 = 95%
So, the percentage is 95%

For question 3,
1% = 12.5 ÷ 8 = 1.5625
100% = 1.5625 × 100 = 156.25
So, 8% of 12.5 is 156.25.

For question 4,
1% = 48 ÷ 40 = 1.2
100% = 1.2 × 100 = 120
So, 40% of 48 is 120.

For question 5,
1% = 195 ÷ 100 = 1.95
62.5% = 1.95 × 62.5 = 121.875
So, 62.5% of 195 is 121.875
8 0
2 years ago
Find the total surface area of a cylinder. Use 3.14 for pi
Kitty [74]

Answer:

it is 847.80 ft

i done the quiz

6 0
2 years ago
Which of the following are square roots of 265
Studentka2010 [4]

Answer:

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • URGENT!!!! 100 POINTS!!! Data is shown from a random selection of bamboo plants on a bamboo farm. The number of days since the p
    9·1 answer
  • Write 8 in the form 4n
    15·2 answers
  • 30th term of 3,8,13,18
    9·1 answer
  • HELP A BROTHER OUT! PLEASE HELP ME WITH THIS ONE ASAP PLEASE AND THANK YOU
    6·1 answer
  • Factor 6y 2 - 48 + 42y
    6·1 answer
  • Jeanne has $14800, 3 and half loan with a high APR of 8.57 due to her less-than-average credit rating. What is the monthly payme
    6·1 answer
  • Andrew needs copies of a flyer for his band concert. The copy store prints 15 copies for $1.06. At that rate, how much will Andr
    9·2 answers
  • A frame is 9in wide and 6 in tall. If it reduces to a width of 3 in then how tall will it be?
    10·1 answer
  • What is the area of the shaded triangle?<br><br> 72 mm2<br> 096 mm2<br> 120 mm2<br> 0 150 mm
    14·1 answer
  • 63 students choose to attend one of three after school activities: football, tennis or running.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!