Question

Hailey works as a lifeguard at a local water-slide park. When she works past 7 P.M., she receives overtime pay of 1.5 times the normal rate. Last week Hailey worked 15 hours at the normal rate and 10 hours of overtime. If Hailey earned $375 last week, what is her normal rate of pay?

Answer 1

Hailey's normal rate of pay is $12.50. (12.5 x 15= 187.5)+ (12.5 x 1.5 = 18.75) 18.75x 10 = 187.5) (187.5 + 187.5 = $375)

Answer 2

Her normal rate of pay is $12.5

Explanation:

Let Hailey's normal pay = p

(15 × p) + (10 × 1.5p) = 375

p(15) + 1.5p(10) = 375

15p + 15p = 375

30p = 375

p =
`(375)/(30)`

p = $12.5

Her normal rate of pay is $12.5

Now we will put the value in the equation to check

(15 × 12.5) + 10(1.5 × 12.5) = 375

187.50 + 10(18.75) = 375

187.50 + 187.50 = $375