Carol has twice as much money as Nina, and Nina has $6 less than Lynn. Together they have $54. How much does each have?

Question

I'm really stuck on this, hope you can help me!

Thank you :)

Answer 1

Let Nina be your variable.  So Carol is 2x, Nina is x and Lynn is x + 6.  Those added together equal 54.

 

So your equation is 2x + x + x + 6 = 54.

 

Solve for x.

 

First, combine like terms.  2x + x + x = 4x, so rewrite the equation.

 

4x + 6 = 54

 

Subtract 6 from each side and rewrite the equation.

 

4x = 48

 

Divide each side by 4 to find that x = 12.

 

Add 12 back into your variables above.

 

Carol = 2 × 12 = 24

Nina = 12

Lynn = 12 + 6 = 18

Answer 2

n = Nina's money

c = Carol's money = 2n (twice Nina's)

l = Lynn's money = n+6 (6 more than Nina)

 

n+c+l = 54

n+2n+n+6 = 54 (substitute so everything is in terms of n)

4n+6 = 54 (solve for n)

4n = 48 (subtract 6 from both sides)

n=12 (divide both sides by 4)

c = 2*12 = 24 (calculate each person's money)

l = 12+6 = 18

12+24+18 = 54 (check answer)

 

Answer 3

 

Since we don't have any information about how much does Lynn have I am going to use "x" to represent the amount she has. 

Nina has 6 less than Lynn so she has "x-6" 

Carol has twice as much money as Nina so she has "2(x-6)"

 

Together they have $54

 

So the equation to solve this problem will be:

Lynn+Nina+Carol =$54 

x+x-6+2(x-6)=54

x+x-6+2x-12=54

4x-18=54

4x-18+18=54+18

4x=72

4x/4=72/4

x=18

 

Since X represents the amount Lynn has so it means that Lynn has $18 

Nina has 6 less than Lynn so she has $18-$6=$12 

and Carol has twice as Nina so she has 2($12)=$24

 

I hope this helps 

Answer 4

Let's say Nina has $5. . . then Carol has $10 (twice as much).

 

So if Nina has X dollars, then Carol has 2X dollars.

 

Let's say Nina has $5. . . .then Lynn has $11.

 

So Lynn has X + 6 dollars.

 

All of their dollars add up to $54

 

So X + 2X + X + 6 = 54

 

Adding like terms --> 4X + 6 = 54

 

Subtract 6 from both sides--> 4X = 48

 

Divide both sides by 4 --> X = 12 so Nina has $12

 

I'll let you figure out how much Carol and Lynn have.

 

Good luck.

 

If you need a tutor, I would be happy to help out.

 

Dan Lack