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V125BC
3 months ago
8

Ethan Makes $6 per hour mowing lawns and $7.50 per hour bagging groceries. last week, he made a total of $129. the difference be

tween the hours of nagging groceries and mowing lawns is 10. how many hours did Ethan spend mowing lawns
Mathematics
2 answers:
babunello [11.8K]3 months ago
4 0

Answer: Ethan spent 4 hours mowing lawns.


Step-by-step explanation:

Mowing pay rate: $6/hour.
Groceries pay rate: $7.50/hour.

Assume mowing hours = x.
Bagging groceries hours = y.

The difference in hours is 10:
y - x = 10    ---------(1)

Total earnings: $129, which means:
6x + 7.50y = 129    ---------(2)

From (1), y = x + 10.

Substitute into (2):
6x + 7.50(x + 10) = 129
6x + 7.50x + 75 = 129
13.50x + 75 = 129

Subtract 75:
13.50x = 54

Divide both sides by 13.50:
x = 4

Calculate y:
y = 4 + 10 = 14

Therefore, Ethan worked 4 hours mowing lawns.




Inessa [12.5K]3 months ago
4 0

Let x represent the hours Ethan spent bagging groceries. Then, hours spent mowing lawns equals x + 10. The equation to solve is:

6x + 7.50(x + 10) = 129

Solving this gives x = 4, meaning Ethan worked 14 hours mowing lawns.

 
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