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
Slav-nsk [51]
3 years ago
11

Simon and Greg shared pencils in the ratio 7:5. If Simon gives away 30 pencils and Greg gets 30 more pencils, they will have the

same number of pencils. How many did each of them have in the beginning?
Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0
7/5=s/g multiply both sides by g

7g/5=s  multiply both sides by 5/7

g=5s/7

We are then told that:

g+30=s-30  subtract 30 from both sides

g=s-60, and from earlier g=5s/7, and g=g so we can say:

s-60=5s/7  multiply both sides by 7

7s-420=5s  subtract 5s from both sides

2s-420=0  add 420 to both sides

2s=420 divide both sides by 2

s=210, and since g=s-60

g=150

So Simon had 210 pencils and Greg had 150 pencils.

Check..

s:g=210:150=7:5

and

s-30=g+30

210-30=150+30

180=180
You might be interested in
Kristin earns $6.50 for every hour she babysits for the Overstreet family. (Part A:) Last Friday, Kristin babysat for 4.5 hours.
bonufazy [111]

Answer:

The question seems not to be complete, below is a possible complete question:

Kristin earns $6.50 for every hour she babysits for the Overstreet family. Part A: Last Friday, Kristin babysat for 4.5 hours. How much money did she make during that job? $__________ Part B: Mrs. Overstreet has told Kristin that she will pay her $45.50 for tomorrow's babysitting job. How many hours will Kristin babysit then? __________ hours

Answers:

Part A: She makes $29.25

Part B: She babysat for 7 hours

Step-by-step explanation:

Part A:

amount earned per hour = $6.50

Number of hours worked = 4.5 hours

1 hour = $6.50

∴ 4.5 hours = 6.50 × 4.5 = $29.25

part B:

total amount to be earned = $45.50

earning rate = $6.50 per hour

\$6.50 = 1\ hour\\\$1 = \frac{1}{6.50}\ hour\\\therefore \$45.50 = 45.50 \times\frac{1}{6.50} \\= \frac{45.50}{6.50}\\ = 7\ hours

7 0
3 years ago
a dollar bill has length of 150 mm and a width of 50 mm . complete the number sentences below to show two ways to find the perim
marysya [2.9K]
<u><em>Hey There!</em></u>
<u><em>Perimeter=L+W×2</em></u>
<u><em>Perimeter=150+50×2</em></u>
<u><em>Perimeter=200×2</em></u>
<u><em>Perimeter=400</em></u>
8 0
3 years ago
Solve for k.<br>7k - 2 ≥ -9​
Akimi4 [234]

Answer: k ≥ -1

Step-by-step explanation:

7k - 2 ≥ -9

add two to both sides

7k ≥ -7

k ≥ -1

6 0
3 years ago
Read 2 more answers
The temperature of a substance was - 11°C at first. Its temperature increased and reached a temperature of 25°C in 30 minutes. F
djverab [1.8K]

Answer:

in 30 minutes it changed

36°C

as per that

for every one second

30minutes = 1800 seconds

so it is 36/1800

so answer Is 0.02

3 0
2 years ago
To the nearest square unit, what is the area of the regular octagon shown
riadik2000 [5.3K]
C is the correct answer
7 0
3 years ago
Other questions:
  • Point V is on line segment UW. Given UW=13 and VW = 11, determine the length of UV
    6·1 answer
  • What is another way to write 11/5 ths
    14·1 answer
  • A classroom is 26ft wide, 32ft long, and 9ftt high. what is the volume of the room in cubic feet?
    15·2 answers
  • An adult blue whale can eat 4.0 x 10 square root 7 krill in a day, At that rate, how many krill ca an adult blue whale eat in 3.
    13·1 answer
  • The answer of this  3*(-7) is  -21
    10·1 answer
  • Two more than 11 times a number is equal to 24. What is the number?
    14·2 answers
  • Find the area of the following shape. You must show all work to receive credit.
    12·1 answer
  • Can anyone help me on this? IN NEED OF SOME HELP!
    7·2 answers
  • Given that circumference of a circle is 44m. Calculate it's area​
    11·1 answer
  • Leanne and her family plan to attend a symphony at an orchestra hall. Before booking the tickets, Leanne checked a website where
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!