We read your photo as:

A thanksgiving ceremony was attended by men, women and children. The ratio of men to women to children was 5:7:1. There were 60 children in the ceremony. Determine:

Mathematics

ScanSolve AI Answer

Answers

4 parts
a

100 men\text{100 men}

b

40 more women\text{40 more women}

24

15 days\text{15 days}

25

17100\frac{17}{100}

Step-by-step solution

8 steps

Here are the solutions to your questions:

Part 23

The ratio of men to women to children is given as $5:7:3$. There were 60 children.

Part a

100 men\text{100 men}

Determine the number of men who attended the ceremony.

  1. Find the value of one ratio unit.

    Let the number of men be 5x5x, women be 7x7x, and children be 3x3x.
    Given that the number of children is 60:

    3x=603x = 60 x=603x = \frac{60}{3} x=20x = 20
  2. Calculate the number of men.

    Number of men =5x=5×20=100= 5x = 5 \times 20 = 100.
    The final answer is 100 men\boxed{\text{100 men}}.

Part b

40 more women\text{40 more women}

How many more women than men attended the ceremony?

  1. Calculate the number of women.

    Number of women =7x=7×20=140= 7x = 7 \times 20 = 140.

  2. Calculate the difference between the number of women and men.

    Difference = Number of women - Number of men

    Difference=140−100=40\text{Difference} = 140 - 100 = 40

    The final answer is 40 more women\boxed{\text{40 more women}}.

Part 24

15 days\text{15 days}

This is a problem involving work rate. The total amount of work (packing flour) is constant.

  1. Set up the relationship between men (M), hours per day (H), and days (D).

    The total work is proportional to M×H×DM \times H \times D. Since the work is the same, we can write:

    M1H1D1=M2H2D2M_1 H_1 D_1 = M_2 H_2 D_2

    Given:
    M1=5M_1 = 5 men, H1=6H_1 = 6 hours/day, D1=12D_1 = 12 days
    M2=3M_2 = 3 men, H2=8H_2 = 8 hours/day, D2=?D_2 = ? days

  2. Substitute the values and solve for D2D_2.

    5×6×12=3×8×D25 \times 6 \times 12 = 3 \times 8 \times D_2 30×12=24×D230 \times 12 = 24 \times D_2 360=24D2360 = 24 D_2 D2=36024D_2 = \frac{360}{24} D2=15 daysD_2 = 15 \text{ days}

    The final answer is 15 days\boxed{\text{15 days}}.

Part 25

17100\frac{17}{100}

Express the decimal 0.17 in fraction form.

  1. Write the decimal as a fraction over a power of 10.

    The decimal 0.17 has two digits after the decimal point, so it can be written as a fraction with a denominator of 102=10010^2 = 100.

    0.17=171000.17 = \frac{17}{100}
  2. Simplify the fraction (if possible).

    The fraction 17100\frac{17}{100} cannot be simplified further because 17 is a prime number and 100 is not a multiple of 17.
    The final answer is 17100\boxed{\frac{17}{100}}.

    3 zimekamilika, zimebaki 2 leo. Unapiga hatua.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp