Last week, Lindsay earned $10 per hour plus a $60 bonus for good job performance.
She spends 1/15 of her paycheck on dinner with friends. If she had not earned the bonus, the amount she spent on dinner would have been 1/10 of her paycheck. Which equation can be used to find h, the number of hours Lindsay worked last week?
You don’t know how much she spent on dinner, nor the number of hours she worked.
Let variables represent those two things. y = total amount she spent on dinner h = number of hours Set up a system of equations to model the two situations, one with bonus and one without bonus. y = (1/15)(10h + 60) {amount spent with bonus} y = (1/10)(10h) {amount spent without bonus} y = (2/3)h + 4 {used distributive property in first equation} y = h {multiplied 1/10 by 10 in second equation} Solve the system of equations for h, by substituting h, in for y, into first equation. h = (2/3)h + 4 {substituted h, in for y, into first equation} (1/3)h = 4 {subtracted (2/3)h from each side} h = 12 {multiplied each side by 3} She worked 12 hours. Ask the House
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