three friends earned more than $200 washing cars. they paid their parents $28 for supplies and divided the rest of money equally. write an inequality to find possible amounts each friend earned. identify what your variable represents.

Respuesta :

28x+86≤200 because for supplies they divide the rest of money. that means, 200-28=172 so 172/2=86  now we gonna find the value of x.
 28x+86≤200 i am gonna subtract 86 both of side 28x+86-86≤200-86 to get value of x. 
28x≤114 divide 28 both of side to get value of x so it will be x≤4
Let the original  amount they earned be x.

They earned more than $200, therefore  x > 200

They paid their parents $28, assuming all the parents got $28

So we remove 28 from both sides of the inequality

x -28> 200-28

Let y be the amount left after paying their parents, and  replace (x -28) with y in the inequality above.

 y> 200-28

y> 172

Amount each got, divide both sides of the inequality by 3.

y/3 > 172/3     

Let amount each got after dividing equally be z, replace (y/3) with z in the inequality above

z > 172/3

z > 57.33

Each got more than $57.33