hellothere12346709
Answered

Explore Westonci.ca, the premier Q&A site that helps you find precise answers to your questions, no matter the topic. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

At a party, ⅓ of the people are children. There are ⅗ as many men as women, and 5 more women than children. If the total number of people is x, form an equation in x and solve it.​

Sagot :

Leora03

Answer:

x= 60

Step-by-step explanation:

Total number of people= x

Let the number of children, men and women be c, m and w respectively.

c= ⅓x -----(1)

m= ⅗w -----(2)

w= c +5 -----(3)

Substitute (1) into (3):

w= ⅓x +5 ----(4)

Substitute (4) into (2):

m= ⅗(⅓x +5)

m= ⅕x +3 -----(5)

Since the total number of people is x,

c +m +w= x -----(6)

Substitute (1), (5) and (4) into (6):

⅓x +⅕x +3 +⅓x +5= x

⅔x +⅕x +8= x

[tex] \frac{10}{15} x + \frac{3}{15} x + 8 = x[/tex]

[tex] \frac{13}{15} x + 8 = x[/tex]

[tex]x - \frac{13}{15} x = 8[/tex]

[tex] \frac{2}{15} x = 8[/tex]

[tex]x = 8 \div \frac{2}{15} [/tex]

[tex]x = 8 \times \frac{15}{2} [/tex]

x= 4(15)

x= 60

We hope this was helpful. Please come back whenever you need more information or answers to your queries. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.