Answer:
Money Jevon would be having = $15
Money Angie would be having = $30
Money Kenny would be having = $35
Step-by-step explanation:
Given:
Angie has twice as much money as Jevon
Kenny has $5 more than Angie.
The sum of their treasure = $80
To find how much money does each of them have.
Solution:
Let Jevon has money in dollars = [tex]x[/tex]
Angie having twice as much money as Jevon would have in dollars = [tex]2x[/tex]
Kenny having $5 more than Angie would have in dollars = [tex]2x+5[/tex]
The sum of their money will be given as:
⇒ [tex]x+2x+2x+5[/tex]
Combining like terms.
⇒ [tex]5x+5[/tex]
The sum of their treasure = $80
So, the equation to find [tex]x[/tex] would be given as:
[tex]5x+5=80[/tex]
Solving for [tex]x[/tex]
Subtracting both sides by 5.
[tex]5x+5-5=80-5[/tex]
[tex]5x=75[/tex]
Dividing both sides by 5.
[tex]\frac{5x}{5}=\frac{75}{5}[/tex]
∴ [tex]x=15[/tex]
Thus,
Jevon has = $15
Angie has = [tex]2\times \$15[/tex] = $30
Kenny has = [tex]\$30+\$5[/tex] = $35