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solmaris [256]
2 years ago
10

In one week, Jenny workers a total of 22 hours at a movie theater and a car wash. Jenny earned $8.50 per hour at the movie theat

er and $8.00 per hour at the car wash. She earned a total of $181 for the week. How many hours did Jenny work at the car wash.
Mathematics
1 answer:
MariettaO [177]2 years ago
6 0

Answer:

10 hours

Step-by-step explanation:

12 hours theater = $96.00

10 hours car wash = $85.00

total = 22hours = $181.00

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Answer:

x=0.25\,,\,y=1.75\,,\,z=0.25

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For Justin:

6x+8y+5z=16.75\,\,\,(ii)

For Virginia:

5x+5y+7z=11.75\,\,\,(iii)

On subtracting equations (i) and (ii), we get

(6x+7y+8z)-(6x+8y+5z)=15.75-16.75\\-y+3z=-1\\y-3z=1\\y=1+3z

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6x+7(1+3z)+8z=15.75\\6x+29z=8.75\,\,\,(iv)

Put y=1+3z in equation (iii)

5x+5(1+3z)+7z=11.75\\5x+22z=6.75\,\,\,(v)

Multiply equation (iv) by 5 and equation (v) by 6 and then subtract both the equations.

5(6x+29z)-6(5x+22z)=5(8.75)-6(6.75)\\13z=3.25\\z=\frac{3.25}{13}=0.25

Put z=0.25 in equation y=1+3z

y=1+3(0.25)=1.75

Put y=1.75\,,\,z=0.25 in equation (i)

6x+7(1.75)+8(0.25)=15.75\\6x+12.25+2=15.75\\6x=1.5\\x=0.25

8 0
3 years ago
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