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
Zepler [3.9K]
2 years ago
11

Roy used 1/4 of his money on 3 pens and 6 notebooks. The cost of each pen is 3 times the cost of each notebook. He bought some m

ore pens with 2/3 of his remaining money. How many pens did Roy buy altogether? ​
Mathematics
2 answers:
cestrela7 [59]2 years ago
6 0
<h3>Answer:  13 pens</h3>

=========================================================

Explanation:

Roy spends 1/4 of his money on 3 pens and 6 notebooks. That means 3/4 of it is leftover.

2/3 of 3/4 = (2/3)*(3/4) = 1/2 of his money is spent on buying some unknown number of additional pens. We'll come back to this later.

---------------

In terms of cost,

1 pen = 3 notebooks

which is another way of saying 1 pen is the same price as 3 notebooks.

Multiply both sides by 2 to get

2 pens = 6 notebooks

Therefore, saying "3 pens + 6 notebooks" is the same as "3 pens + 2 pens = 5 pens" when just thinking about costs.

---------------

In short, Roy buying 3 pens and 6 notebooks is the same as him buying 5 pens. He spends 1/4 = 25% of his money on getting these 5 pens.

Multiply those two values by 2 to find that 50% = 1/2 of his money would allow him to get 10 pens.

--------------

Recall that at the end of the first section, we concluded that Roy spent 1/2 of his money on buying those unknown additional number of pens. Then the previous section mentioned that 1/2 of his money gets him 10 pens. Therefore, he must have bought 10 additional pens on top of the original 3 mentioned in the instructions.

Overall, he purchased 3+10 = 13 pens

lutik1710 [3]2 years ago
6 0

Answer:

  13 pens

Step-by-step explanation:

If a pen costs 3 times the cost of a notebook, then the cost of 3 notebooks will equal the cost of a pen. The 6 notebooks that Roy bought are equivalent in cost to 2 pens, so 1/4 of Roy's money is the cost of 3+2 = 5 pens.

After the first purchase, Roy has (1 -1/4) = 3/4 of his money remaining. If he spends 2/3 of that on more pens, he will have spent ...

  (2/3)(3/4) = 2/4

of his money on more pens. We've already seen that 1/4 of his money buys 5 pens, so 2/4 will buy 10 more pens.

Roy bought 3 +10 = 13 pens altogether.

You might be interested in
A bus traveled 336 miles in 7 hours. It traveled the same number miles each hour. If the bus continues at the same numder of mil
MrRissso [65]

Answer:

The bus will travel 720 miles in 15 hours.

Step-by-step explanation:

As you know that the bus traveled 336 miles in 7 hours and it traveled the same number miles each hour, you can divide the amount of miles it traveled by the number of hours to determine the amount of miles per hour:

336/7=48

Now, you can multiply the number of miles the bus traveled each hour for 15 hours:

48*15=720

According to this, the answer is that the bus will travel 720 miles in 15 hours.

4 0
3 years ago
The radius of a circle is 9 square inches. What is the Area of the Circle? Round your answer to the nearest hundredth. A 56.52 B
kondaur [170]

Answer:

hi

Step-by-step explanation:

Find the area of the circles: 1. f. Answer: 379.94 square inches 2. ... Given the radius or diameter, find the circumference AND area of each circle to the nearest tenth. 5. r=9 m. C=56.52 m. A=254.34 square meters ... Round your answer to the nearest tenth. 50.2 square feet 9. A company is manufacturing aluminum lids.

7 0
2 years ago
Rectangle ABCD was dilated to create rectangle A'B'C'D.
77julia77 [94]

The first thing we must do for this case is to calculate the scale factor.

For this, we make the relationship between two parallel sides.

We have then:

k =\frac{B'C'}{BC}

Substituting values we have:

k = \frac{9.5}{3.8}\\k = 2.5

We are now looking for the value of AB

We have then:

AB = \frac{A'B'}{k}

Substituting values:

AB = \frac{15}{2.5}\\AB = 6

Answer:

The scale factor is:

k = 2.5

The value of AB is:

AB = 6

8 0
3 years ago
Read 2 more answers
Weight: How many grams does a 5 lb 15 oz roast weigh?The roast weighsgrams.
natulia [17]

Since 1kg = 2.20 lb,

\frac{1\operatorname{kg}}{2.20\text{ lb}}

Since 1kg = 1000g

\frac{1000\text{ g}}{1\operatorname{kg}}

So for covering pounds to gram by the following factor

\frac{1\operatorname{kg}}{2.20\text{ lb}}\frac{1000\text{ g}}{1\operatorname{kg}}

Since 1oz = 28.3g

\frac{28.3\text{ g}}{1\text{ oz}}

Now

5\text{ lb}\frac{1000\text{ g}}{2.20\text{ lb}}+15\text{ oz}\frac{28.3g}{1\text{ oz}}

The weight in grams would be

2697.22 gr

5 0
1 year ago
Perform the operation <br> (10x² – x + 1) – (9x – 2)<br> Help ASAP please
seropon [69]

Answer:

10x^2-10x+3

Step-by-step explanation:

If this helped you please rate this comment, give it a like, and maybe mark it as branliest!

6 0
3 years ago
Other questions:
  • A circular rug measures 8 feet across. What is the area of the rug
    13·1 answer
  • Write a division problem that has a 3 digit dividend and a divisor between 10 and 20
    12·1 answer
  • Ellen Saver went to her bank. She had a balance of $2,447.67 in her savings account. She withdrew $231.49 and the teller credite
    8·2 answers
  • Am I right or wrong ? If I'm wrong what's the answer .
    12·1 answer
  • How do you write 100 as a power of 10
    7·2 answers
  • Match each set of numbers with their least common multiple
    12·1 answer
  • Please help is for now
    11·2 answers
  • Shannon has 1 nickel, 2 dimes, and 5 unknown coins totaling $0.81. What kind of coins does Shannon have and how many are there o
    5·2 answers
  • How to divide like that
    6·1 answer
  • Round 0.9057 to<br> the thousandths place.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!