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Question

Joel works at the local pizza parlor. When he works overtime he earns 1¼ times the normal rate.One week Joel worked for 40 hours at the normal rate of pay and also worked 12 hours overtime. If Joel earned $660 altogether in that week, what is his normal rate of pay?

Answer 1

LET THE NORMAL RATE OF EARNING OF JOE BE XRS

FOR OVERTIME HE EARNS =₁1⁄4=5⁄4 OF NORMAL RATE

=5⁄4X

ACCORDING TO QUESTION

JOEL WORKED FOR 40 HOURS AT NORMAL RATE

THEREFORE HIS TOTAL EARNNG FOR 40 HOURS=40×X=40X

HE WORKED 12 HOURS OVERTIME

THEREFORE EARNING FOR THAT 12 HOURS=12×5⁄4X

= 60⁄4X

DIVIDING 60 BY 4 WE WILL GET

=15X

TOTAL EARNING FOR 40 HOURS +12 HOURS OVERTIME=$660

40X+15X=$660

55X=$660

X=$660⁄55

BY DIVIDING 660 BY 55 WE WILL GET $12

THERFOR JOE NORMAL PAY OF RATE IS $12