Jane pulled weeds in the garden 7 times. she was paid $5 each time she pulled weeds for less than 1 hr and $6 each time she pulled weeds for more than 1 hr. if jane received $39, how many times did she pull weeds for more than 1 hr? neil

Set up a system of equations.

x + y = 7
5x + 6y = 39

x + y = 7

x = -y + 7

Substitute -y + 7 into the 2nd equation for 'x':

5(-y + 7) + 6y = 39

Distribute 5:

-5y + 35 + 6y = 39

Combine like terms:

y + 35 = 39

Subtract 35 to both sides:

y = 4

Plug this into any of the two equations to get 'x'

x + y = 7

x + 4 = 7

Subtract 4 to both sides:

x = 3

So she pulled weeds for more than 1 hour 3 times.