Last week, Lindsay earned 10 dollars per hour plus a 60 dollars bonus for good job performance. She spends 1 fifteenth of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been 1 tenth of her paycheck. Which equation can be used to find h , the number of hours Lindsay worked last week?
Answer
A
1 fifteenth h open paren 10 plus 60 close paren is equal to 1 tenth h 10
B
1 fifteenth times open paren 10 h plus 60 h close paren is equal to 1 tenth times 10 h
C
1 fifteenth times open paren 10 h plus 60 close paren is equal to 1 tenth times 10 h
D
1 fifteenth times open paren 10 plus 60 h close paren is equal to 1 tenth times 10 h
Explanation
Lindsay’s paycheck with the bonus is 10h + 60 dollars, since she earns $10 for each of h hours and gets a $60 bonus. The amount she spends from that paycheck is one-fifteenth of it, or (1/15)(10h + 60). Without the bonus, her paycheck would be 10h dollars, and she would spend one-tenth of it, or (1/10)(10h). Setting those spending amounts equal gives choice C.
AI-written and checked against the verified answer.