Answer:
52.47d -26.72 = 235.63
Explanation:
You want an equation to find the number of days Jeff worked if he earned $52.47 per day, spent $26.72, and has $235.63 left.
Equation
The equation you want to write will express the relationship between Jeff's earnings, expenditures, and the amount remaining. It should be no mystery that when you subtract the amount spent from the amount earned, you get the amount remaining.
The amount earned is the product of earnings per day and the number of days: 52.47d. The amounts spent and remaining are given as 26.72 and 235.63, respectively. This means the equation you can write is ...
earnings - amount spent = amount remaining
52.47d -26.72 = 235.63 . . . . . . an equation for finding d
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Additional comment
Solving this equation will tell you the number of days Jeff worked.
52.47d = 262.35 . . . . . . . . add 26.72 to both sides
d = 5 . . . . . . . . . . . . divide both sides by 52.47
Jeff worked 5 days last week.
Almost all of these "write an equation" problems are simply asking you to express the relationships described in the problem statement (or diagram) using mathematical symbols. Sometimes, you also need to make use of your real-world knowledge of how monetary values are related to each other: cost per item and total cost; tax rate and tax amount; revenue, cost, and profit, for example.
Of course, when you're asked to "write and solve an equation", then you solve the equation you just wrote. Here, we solved the equation in the "Additional comment" section.
(Sometimes, the problem is so easily solved mentally, that it takes a little bit of work to figure out what equation to write. The idea is still the same: express the relationship between the given quantities.)