Question

divide $800 between Alfie, Beth and Cindy in the ratio 3:11:18. How much does each receive?

Answer 1

$hello$

Answer ⤵️

I’ll write the problem as an equation:

n=Number of friends

c=Individual cost per friend

800/n=c

800=(n-2)(c+20)

800=(n-2)([800/n]+20)

800=800+20n-1600/n-40

0=20n-1600/n-40

20n^2-40n-1600=0

20(n^2–2n-80)=0

20(n-10)(n+8)=0

n=10 or n=-8

So there were 10 friends, let’s verify:

800/n=c

800/10=80

800/(10–2)=c+20

800/8=100

100=c+20=80+20

So yeah, 10 friends

Step-by-step explanation:

hope it helps

please follow me ❤️

mark me as brainliest.

Answer 2

Answer:

let

Alfie = 3x

Beth = 11x

Cindy = 18x

3x + 11x + 18x = $800 {given}

32x = 800

x = 800/32 = 35