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Olenka [21]
3 years ago
15

Landon babysits and works part time. He babysat for 3 hours and worked at the water park for 10 hours and made 109$. Next week h

e babysat for 8 hours and worked at the water park for 12 hours and made 177$ how much does Landon make per hour at each job
Mathematics
1 answer:
vovangra [49]3 years ago
6 0

Answer:

$10.5 and $7.75

Step-by-step explanation:

Let Landon's hourly rate at babysitting job be x and at water park be y

now, for the first week Landon babysat for 3 hours and worked at the water park for 10 hours and made 109$.

⇒ 3x + 10y = 109 ....(1)

Next week Landon babysat for 8 hours and worked at the water park for 12 hours and made 177$.

⇒ 8x + 12y = 177 ....(2)

From equation (2) we get

y = \frac{177 - 8x}{12} ....(3)

Substituting value of  x from equation (3) to equation (1) we get

x = 10.5

Using value of x in equation (1) we get

y = 7.75

Hence hourly rate for Landon for babysitting job is $10.5 and for water park job is $7.75

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