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
olya-2409 [2.1K]
3 years ago
12

A bag contains purple marbles and blue marbles, 41 in total. The number of purple marbles is 4 less than 2 times the number of b

lue marbles. How many purple marbles are there?
Mathematics
1 answer:
Andreas93 [3]3 years ago
4 0

Answer:

There are 26 purple marbles in the bag.

Step-by-step explanation:

1) We have purple (p) and blue (b) marbles in a bag, and 41 marbles total so:

p+b = 41

2) we want to know how many purple marbles we have, so let's rearrange for p:

p = 41 - b

3) Our problem gives us an expression for the purple marbles in terms of the blue,  let's write it using math symbols instead of words:

<em>"The number of purple marbles is 4 less than 2 times the number of blue marbles."</em>

so: p = 2b - 4

3) Now we're going to plug this in (or substitute it) for our p in our first equation, and solve for b

p = 41 - b

2b - 4 = 41 - b     (substitution)

2b = 45 - b         ( add 4 to both sides)

3b = 45               (add b to both sides)

b = 15                  (divide both sides by 3)

4, last step!)

Now we know we have 15 blue marbles, that's great! But we still want to know how many purple marbles we have.

41- 15 = 26 purple marbles

You might be interested in
How do you solve this
e-lub [12.9K]

Answer:


Step-by-step explanation:


6 0
3 years ago
Please help me on this!!! I’d really appreciate it!!!
finlep [7]

Answer:

B

Step-by-step explanation:

4 0
2 years ago
A company sells boxes of small blue pom-poms (b) for $42 and boxes of large orange pom-poms (p) for $52. They make batches of sm
Strike441 [17]

Answer:

b = 40 - p

42b + 52p = 350

Step-by-step explanation:

Given : No. of small blue pom-pom boxes = b

            No. of large orange pom-poms    = p

           cost of 1 box of blue pom pom = $42

           cost of one  large orange pom-pom box = $52

Solution:

Since we are given that the company has only 40 boxes

⇒b+p=40

⇒b=40-p

Since cost of 1 box of blue pom pom = $42

So, cost of b box of blue pom pom = $42b

Since,cost of one  large orange pom-pom box = $52

So,cost of p  large orange pom-pom box = $52p

We are also given that the company plan to make $350

⇒42b+52p=350

Hence Option b is correct

b = 40 - p

42b + 52p = 350

4 0
3 years ago
Read 2 more answers
A local movie theater is selling movie tickets for $5.25 during the first week of May. The regular price of a ticket is $6.75. W
Phantasy [73]

Answer:

7

Step-by-step explanation:

8

6 0
3 years ago
The sum of two numbers is 12. The difference of the same two numbers is 24. what is the larger of the two numbers
Vsevolod [243]

ANSWER


The larger number is 18

<u>EXPLANATION</u>

Let x be the larger number and y be the smaller  number.


Then,

x+y=12--(1)


x-y=24--(2)


Let us add equation (1) and (2).


2x=36


Divide through by 2


x=18


Put x=18 in to equation (1).

This implies that,

18=y=12



y=12-18=-6




4 0
3 years ago
Other questions:
  • The ferry between an island and mainland makes on round trip a day on Monday the ferry carried 83 people to the island and retur
    5·2 answers
  • A three-dimensional object may be built from two-dimensional objects<br> True or false
    6·2 answers
  • Write the following inequality. You are not solving it, just writing it.
    10·2 answers
  • Simplify.<br> Rewrite the expression in the form b^n<br><br> (b^3)^2
    9·1 answer
  • Which expression is equivalent to log(10^7), a. 7.10 b. 7.log 10 c. 7 d. 1
    15·1 answer
  • What is the quotient of the given expression?
    8·1 answer
  • Use the distributive property to rewrite each expression in it's equivalent form 9a-3/3 ,Just 3 please
    9·1 answer
  • PLEASEEE HELPPP I'LL GIVE BRAINLIEST
    13·1 answer
  • Help me please help me thanks again help me thanks
    11·1 answer
  • 1.) Jimmy has rowed his canoe 3/8 of the length of the course. He has rowed 60 meters. How long is the entire course?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!