SOLUTION: Using a 2 x 2 system of equations solve for: Wendy works two part time jobs to pay for college. She works in a diner that pays $6.35 an hour and as a cashier that pays $12 an h

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Question 304101: Using a 2 x 2 system of equations solve for:
Wendy works two part time jobs to pay for college. She works in a diner that pays $6.35 an hour and as a cashier that pays $12 an hour. Last week, she worked 8 more hours in the diner than as a cashier and earner $132.75. How many hours did he work at each job?
You're help is greatly appreciated!

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let t = number of hours she worked as a cashier last week
Then t+%2B+8 = number of hours she worked in diner
given:
1200t = earnings last week as cashier (in cents)
635%2A%28t+%2B+8%29 = earnings last week in diner
1200t+%2B+635%2A%28t+%2B+8%29+=+13275
----------------------------
1200t+%2B+635t+%2B+5080++=+13275
1835t+=+13275+-+5080
1835t+=+8195
t+=+4.466
t+%2B+8+=+12.466
This comes out 4 hrs 28 min as cashier and 12 hrs 28 min at diner
check:
1200t+%2B+635%2A%28t+%2B+8%29+=+13275
1200%2A4.466+%2B+635%2A%284.466+%2B+8%29+=+13275
5359.2+%2B+635%2A12.466+=+13275
5359.2+%2B++7915.91+=+13275
13275.11+=+13275 (error due to rounding off)