Arithmetic II Unit Problem Set 1

At 3 pm, Makenna travels at a constant rate of \(30\) miles per hour, and Jerome travels at a constant rate of \(50\) miles per hour but leaves \(2\) hours later than Makenna on the same route, at what time will Jerome catch up to Makenna?

A model train is built on a \(1:144\) scale. If the model train is \(8\) inches long, what is the length of the actual train in feet? (\(12\) inches = \(1\) foot)

The expression \(\frac{\frac{5+x}{3}}{\frac{-4x-20}{9}}\) is equivalent to what value?

For a card game, the only two options are winning and losing, and the probability of winning the card game is \(\frac{1}{3}\). What is the probability of losing two games then winning one, in that order?

Carlton is an insurance salesman who makes $\(2000\) monthly as a base salary but also earns \(20\%\) commission on his sales (adds an extra \(20\%\) of his sales to his money earned). If Carlton wants to take home $\(5000\) this month (between his base salary and the extra money earned from commission), how much money (in dollars) must he generate in sales?

A lumberyard is evaluating its costs with the information in the table above and calculates the profits as the difference between the cost and sales price. The sales of which wood types will yield a profit of greater than 70% of the base cost per foot (for that wood type)?

Philando will buy 30 feet of oak and 30 feet of walnut from the lumberyard for a furniture project. If the lumberyard offers him a \(30\%\) discount on the sales price of all woods and then an extra \(20\%\) on the sales price of walnut, what is the lumberyard’s profit for Philando’s order, rounded to the nearest dollar?

Karla is making Mrs. Jensen’s Crazy Cream Pudding recipe that requires \(\frac{3}{4}\) cups of butter for a single serving. Butter has \(203\) calories in a single fluid ounce while margarine has only \(88\) calories in a single fluid ounce. If Karla is looking to make a single serving of the pudding, substituting margarine in place of butter, how many calories will she save in her recipe? (8 fluid ounces = 1 cup)