SOLUTION: Kate worked 10 h overtime. She earned $8 more than 1/3 the amount she earns for 40h of work at her usual rate. If her overtime rate is $2.40 per hour more than her usual rate, find

Question 998081: Kate worked 10 h overtime. She earned $8 more than 1/3 the amount she earns for 40h of work at her usual rate. If her overtime rate is $2.40 per hour more than her usual rate, find her overtime rate.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Kate worked 10 h overtime. She earned $8 more than 1/3 the amount she earns for 40h of work at her usual rate. If her overtime rate is $2.40 per hour more than her usual rate, find her overtime rate.
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Equations:
Note: Rate*time = earning
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Let "x" be her overtime rate and "y" be her usual rate.
10x = (1/3)40y + 8
x = y + 2.40
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Modify for elimination::
30x - 40y = 24
30x - 30y = 72
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Subtract and solve for "x"::
10y = 48
y = $4.80 per hour
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Solve for "x":
x = 4.80+2.40
x = $7.20
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Cheers,
Stan H.
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