Mai earns $7 per hour mowing her neighbors' lawns. She also earned $14 for hauling away bags of recyclables for some neighbors. Priya babysits her neighbor's children. The table shows the amount of money m she earns 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.

Each has to work 5 hours and earn $42

Step-by-step explanation:

Let m and h represent hours Nai spends mowing and hauling, respectively. Then (m+h) will be the number of hours Priya spends babysitting. In order for their earnings to be equal, we must have ...

 7m +14h = 8.40(m+h)

 5.60h = 1.40m . . . . . . . . subtract 7m+8.40h

 m = 4h . . . . . . . . . . . . . . divide by 1.40

Then the total number of hours worked by either person is ...

 m + h = (4h) +h = 5h

If only whole numbers of hours are worked, then the smallest number of hours that will make earnings equal is 5h, with h=1, or 5 hours. In that time, each will earn 5×$8.40 = $42.

Each must work 5 hours and earn $42 before they go to the movies.

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Nai will work 4 hours mowing and 1 hour hauling.

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