Sara gets paid $136.75 for working 16 hours. For mowing a lawn she gets paid $4.25 per hour and for working at a fast food restaurant, she gets paid $10.50 per hour. How many hours did she work for the fast food? How many hours did she mow a lawn?

The number of hours that she work for the fast food is 11

The number of hours that she mowed is 5

Step-by-step explanation:

let x = hours spent mowing

y = hours spent at the food joint.

we can now form an equations from the figures given.

x+y=16 ... *

10.5x+4.25y=136.75 ... * *

solving the two equations simultaneously using the substitution method or the eliminating method,

x=11 hours

y=5 hours