Question

Write an algebraic equation for each sentence.

Esme’s hourly wage is 4 times the amount of Henry’s hourly wage (variable h). Esme makes $23.60 per hour. What is Henry’s hourly wage?

Answer 1

Answer:

$5.90

Step-by-step explanation:

Given Information:

1. Esme makes 4 times what Henry makes

2. Esme makes $23.60

Find:

1. Henry's hourly wage

Work:

1. Set an equation for Esme in terms of Henry by letting Esme equal the variable 'e'

e =4*h because "4 times" means multiplication ('*' means multiplication)

2. Knowing Esme's hourly wage, we can substitute her wage for e

23.60 = 4*h

3. Solve the equation

23.60/4 = 4h/4

h = 23.6/4

(the '4' in 4h/4 cancel out because 4/4 = 1 and 1*h just equals h)

h =  = 5.9

 

Henry's hourly wage is $5.90

I hope this helped :)

Answer 2

Answer:

$5.90 or 23.60 = 4h

Step-by-step explanation:

"Esme’s hourly wage is 4 times the amount of Henry’s hourly wage (variable h). Esme makes $23.60 per hour."

"Esme’s hourly wage is 4 times the amount of Henry’s hourly wage (variable h)."

4h

"Esme makes $23.60 per hour."

23.60

23.60 = 4h

/4

5.90 = h