Question
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(4) (5)
(7) ,
(8)
(9) 20 seconds minutes ?
(10)
(11) ? hours, 10 seconds
Divide the number 720 into the following ratios:
(1)
(2)
(3)
Divide each of the following numbers in a ratio of :
(1) 80
(2) 176
(3) 100
Divide the following numbers in a ratio :
(1)
(2) 33
(3) 253
The ratio- of boys to eirls at a party is . If there are 20 boys, how many

Ask by Brooks Mitchell. in South Africa
Jan 21,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Solutions:
  1. Problem (4): 20
  2. Problem (5): 16
  3. Problem (7): Cannot determine with given information.
  4. Problem (8): 20
  5. Problem (9): 6
  6. Problem (10): 750 mg
  7. Problem (11): 2 hours
Dividing 720 into Ratios:
  1. 5 : 4 → 400 : 320
  2. 1 : 9 → 72 : 648
  3. 2 : 1 : 3 → 240 : 120 : 360
Dividing Numbers in the Ratio 5 : 3:
  1. 80 → 50 : 30
  2. 176 → 110 : 66
  3. 100 → 62.5 : 37.5
Dividing Numbers in the Ratio 1 : 5 : 5:
  1. 33 → 3 : 15 : 15
  2. 253 → 23 : 115 : 115
Final Problem: There are 15 girls at the party.
If you have more questions or need further assistance, feel free to ask!

Solution

Sure, let’s solve each of the ratio and proportion problems step by step.

Problem (4)

Solution:
Set up the proportion:
Cross-multiply:
Answer: 20

Problem (5)

Solution:
Set up the proportion:
Cross-multiply:
Answer: 16

Problem (7)

Solution:
This appears to be an incomplete or incorrectly stated problem. If the intention is to find an equivalent ratio or to solve for a missing value, additional information is needed. Please provide more details or clarify the problem statement.

Problem (8)

Solution:
First, convert meters to centimeters:
Set up the proportion:
Solve for :
Answer: 20

Problem (9)

Solution:
Convert minutes to seconds:
Set up the proportion:
Solve for :
Answer: 6

Problem (10)

Solution:
Convert grams to milligrams:
Set up the proportion:
Solve for :
Answer: 750 mg

Problem (11)

Solution:
First, convert hours and seconds to the same unit. Let’s convert hours to seconds:
Set up the proportion:
Solve for :
Answer: 2 hours

Dividing the Number 720 into Given Ratios

(1) Ratio

  • Total parts:
  • Each part:
  • Division:
    • First part:
    • Second part:
Answer: 400 : 320

(2) Ratio

  • Total parts:
  • Each part:
  • Division:
    • First part:
    • Second part:
Answer: 72 : 648

(3) Ratio

  • Total parts:
  • Each part:
  • Division:
    • First part:
    • Second part:
    • Third part:
Answer: 240 : 120 : 360

Dividing Numbers in the Ratio

(1) Number 80

  • Total parts:
  • Each part:
  • Division:
    • First part:
    • Second part:
Answer: 50 : 30

(2) Number 176

  • Total parts:
  • Each part:
  • Division:
    • First part:
    • Second part:
Answer: 110 : 66

(3) Number 100

  • Total parts:
  • Each part:
  • Division:
    • First part:
    • Second part:
Answer: 62.5 : 37.5

Dividing Numbers in the Ratio

(2) Number 33

  • Total parts:
  • Each part:
  • Division:
    • First part:
    • Second part:
    • Third part:
Answer: 3 : 15 : 15

(3) Number 253

  • Total parts:
  • Each part:
  • Division:
    • First part:
    • Second part:
    • Third part:
Answer: 23 : 115 : 115

Final Problem

The ratio of boys to girls at a party is . If there are 20 boys, how many girls are there?
Solution:
Given the ratio (boys : girls), and there are 20 boys.
  • Each part for boys:
  • Girls:
Answer: 15 girls

If you have any further questions or need additional explanations, feel free to ask!

Answered by UpStudy AI and reviewed by a Professional Tutor

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Bonus Knowledge

To solve the ratio questions, let’s first tackle the greeting of how ratios work! When you’re dividing a number into a specific ratio, you’re splitting it into parts that maintain the same relative size as indicated in the ratio. This means you can easily find out how many parts each segment gets based on the total number of parts calculated from the ratio.
Now, onto a fun application of ratios! Ratios aren’t just academic—they pop up in real life all the time! Whether you’re making the perfect pancake mix (where the ratio of flour to milk really matters), planning a party (where you might discuss the ratio of snacks to guests), or even sharing materials in a class project, understanding how to effectively use ratios can make your life a whole lot smoother and keep you on good terms with others.

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