Problema Solution

on one day, 4 gardeners and 4 helpers earned $360. on another day, working the same hours and at the same rate of pay, 5 gardeners and 6 helpers earned $480. each gardener receives the same pay for a day's work and each helper receives the same pay for a pay's work. how much does a gardener and how muck does a helper earn in a day?

Answer provided by our tutors

let


g = the amount of money the gardener earns per day

h = the amount of money the helper earns per day


4 gardeners and 4 helpers earned $360


4g + 4h = 360


5 gardeners and 6 helpers earned $480


5g + 6h = 480


by solving the system of equations


4g + 4h = 360

5g + 6h = 480


we find


g = $60


h = $30


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the gardener earns $60 per day.

the helper earns $30 per day.