Question 354988
let W=hours worked during the week MOnday thru Friday
let S=hours worked Saturday
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given
hours equation 1: W+S=38 and thus W=38-S
money earned equation 2: 8.50*W+12.75*S=340
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multiply equation 2 by 100 to eliminate decimals
850*W+1275*S=34000
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substitute W=38-S into the above equation
850(38-S)+1275*S=34000
32300-850*S+1275*S=34000
425*S=1700
S=4, substitute into W=38-S=38-4=34
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validate
8.50*W+12.75*S=340
8.50*34+12.75*4=289+51=340 checks out

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answer:  34 hours during the week and 4 hours on Saturday