Mai earns $7 per hour mowing her neighbors lawns.she also earns $14 for hauling away bags of recyclables for some neigbors. Priya babysits her neigbors children. The table shows the amount of monet m she earnd in h hours. Priya and mai have agreed to go to the movies the weekend after they have earned the same amount of money for the same number of work hours. How many hours do theyhave to work before they go to the movies?

Respuesta :

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By creating a system of linear equations, the number of hours worked before they go to the movies is 10 hours.

Priya's earning :

  • Earning per hour = $8.40

Total earning, m = 8.40h - - - - (1)

Mai's Earning :

  • Let total hours worked = h

  • Amount earned for hauling bags = $14

Total earning = 14 + 7h - - - - (2)

Equating (1) and (2) ;

8.40h = 14 + 7h

8.40h - 7h = 14

1.40h = 14

h = 14 ÷ 1.4

h = 10 hours

Therefore, they'll have to work for 10 hours

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