Question

MP Model with Mathematics Ms. Lynette earns $19.50

an hour when she works overtime. She worked overtime
twice this week. One day she worked 3 hours of overtime.
Her total overtime pay for the week is $146.25. Write an
equation to find the number of overtime hours worked
on the second day.​

Answer 1

$19.5 (x + 3) = $146.25

Step-by-step explanation:

• The total number of hours worked by Ms. Lynette would be (x + 3), as we know from the statement that she has worked overtime twice this week. One day overtime has already been given which is 3 so if we assume that she has worked overtime x number of hours, then we can say that the total number of hours would be (x + 3). The pay rate for overtime is $19.5 per hour which should be equal to the total payout amount of overtime hours worked which is $146.25.

• Let us put these values in equation to find x, number of hours worked on second day;

$19.5 (x + 3) = $146.25

19.5x + 58.5 = 146.25

19.5x = 146.25 - 58.5

x = 87.75 / 19.5

x = 4.5

• Hence, Ms. Lynette has worked overtime 4.5 hours on the second day.