Leonard makes $8.25 for every hour he works up to 40 hours a week. If he works overtime, he makes $14.88. Last week, he worked 40 hours plus n overtime hours and made a total of $456.75 on his check. How many overtime hours did he work?

I think the answer is 9 but I am not sure

Question

Leonard makes $8.25 for every hour he works up to 40 hours a week. If he works overtime, he makes $14.88. Last week, he worked 40 hours plus n overtime hours and made a total of $456.75 on his check. How many overtime hours did he work?

I think the answer is 9 but I am not sure

minustempo · Answer

Write out an equation that represents how much money he makes
8.25*(40 hours) + 14.88*(n extra hours) = 456.75
move 8.25*40 to other side
14.88*n = 456.75-8.25*40 = 456.75-330
14.88n = 126.75

ILOVESPAGHETTI · Answer

Alright so in this problem we would multiply $8.25 by 40 which equals $330
8.25 x 40 =330
So now we have 330, let's do a little method.
A being our variable.
A+330=456.75
So now just subtract 456.76 by 330
 456.75-330.00
which equals 126.75
a=126.75

minustempo · Answer

so n = 126.75/14.88 = 8.52 hours

ILOVESPAGHETTI · Answer

@minustempo wrote:

so n = 126.75/14.88 = 8.52 hours

Correct!

hhanan · Answer

@ilovespaghetti But it said round so then it would be 9?

ILOVESPAGHETTI · Answer

@hhanan wrote:

@ilovespaghetti But it said round so then it would be 9?

well I didn't do all of the steps, it's 8.52 so you were really close. If it said round, then yes it's 9