Janine worked 15 hours last week. One job as a clerk in a sporting goods store paid her ​$7.53 per​ hour, while her job giving piano lessons paid ​$12 per hour. If she earned ​$144.24 between the two​ jobs, how many hours did she work at each​ job? Do not try to solve each problem algebraically.​ Instead, make a guess that satisfies one or more conditions of the problem and then evaluate your guess. Keep adjusting your guesses until you have a solution that fits all the conditions of the problem.

A married couple had a combined annual income of $67,000. The wife made $3000 more than her husband. What was each of their incomes?

Lia sells paintings for $14 each. If Lia wants to make at least 150 dollars, how many paintings does Lia have to sell to meet her goal?

Amna bought a calculator for two-thirds of its original price, and used a card that gave her a discount of 25AED, so the price became 55AED. What was the original price of the calculator? (Write an equation to represent the problem, then solve it)

When a popular band played at Elliott Hall, the box-office receipts totaled $43000. The cost of student tickets are 1/3 that of a non-student tickets. If there were 2600 students and 1100 non-students attending the concert that evening, what was the ticket charge for students and non-students ? Round your answers to the nearest cent.

A cab ride costs $1.70 plus $0.10 per tenth of a mile traveled if you use the Green Cab Company. Thecost is $1.55 plus $0.15 per tenth of a mile if you use the Red Cab Company. For what distance will the cabrides cost the same? How much would it cost?

A farmer wants to replace some of the fences on a farm. The wooden rail fence costs about $50 for wood and $40 for labor to install a fence that is 12 feet long. His son estimated he would need 264 feet of new fence. However, when the farmer measured he realized he would only need 204 new feet of fence. What is the difference in cost of the son's estimate versus the farmer's estimate with regard to how many feet of fence are needed? The difference in cost of the son's estimate and the farmer's estimate is $