Janine worked 15 hours last week. One job as a clerk in a sporting goods store paid her $8.47 per hour, while her job giving piano lessons paid $17 per hour. If she earned $178.23 between the two jobs, how many hours did she work at each job?

Question

Nico Stephenson

Mathematics

12 June, 07:19

Janine worked 15 hours last week. One job as a clerk in a sporting goods store paid her $8.47 per hour, while her job giving piano lessons paid $17 per hour. If she earned $178.23 between the two jobs, how many hours did she work at each job?

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Answers (1)

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Frederick Roy · Answer 1

she worked 9 hours at sporting goods store and 6 hours on piano lessons.

Step-by-step explanation:

total hours=15

8.47x + 17 (15-x) = 178.23

8.47x + 225 - 17x = 178.23

225 - 178.23 = 17x - 8.47x

76.77 = 8.53x

x = 76.77 / 8.53

x = 9

therefore she worked 9 hours at sporting goods centre and the remaining hours (15-9) giving piano lessons.