Question

Ethan Makes $6 per hour mowing lawns and $7.50 per hour bagging groceries. last week, he made a total of $129. the difference between the hours of nagging groceries and mowing lawns is 10. how many hours did Ethan spend mowing lawns

Answer 1

Let x be the number of hours of nagging groceries spent by Ethan. With this representation, the number of hours for moving lawns will be x + 10. The equation that would let us solve this item is,

                6x + 7.50(x + 10) = 129

The value of x from the equation is 4. Thus, the number of hours spent for moving lawns is 14 hours. 

Answer 2

Answer: Ethan spent 4 hours in mowing lawn.

Step-by-step explanation:

Given per hour mowing rate = $6.

Per hour bagging groceries = $7.50

Let us assume number of hours Ethan spent on mowing lawns = x hours.

Number of hours spent in bagging groceries = y.

The difference between the hours of bagging groceries and mowing lawns is 10.

Therefore,

y-x = 10               ----------(1)

Total amount he made = $129.

Therefore,

6x + 7.50y = 129            -------------------(2).

Solving first equation for y and substituting in second equation.

y -x=10.

y = x+10.

6x +7.50(x+10) = 129

6x +7.50x + 75 = 129.

13.50x +75 = 129.

Subtracting 75 from both sides, we get

13.50x +75 -75= 129-75

13.50x = 54

Dividing both sides by 13.50, we get

13.50x/13.50 = 54/13.50

x = 4.

Plugging x=4 in first equation y = x+10, we get

y = 4+10= 14.

Therefore, Ethan spent 4 hours in mowing lawn.