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Karen eats \(\frac{1}{2}\) cup of oatmeal that counts for 2 points on her weight loss program. Her husband, Joe, can have 3 points of oatmeal for breakfast. How much oatmeal can he have?

An oatmeal cookie recipe calls for \(\frac{1}{2}\) cup of butter to make 4 dozen cookies. Hilda needs to make 10 dozen cookies for the bake sale. How many cups of butter will she need?

Heart Rate At the gym, Carol takes her pulse for 10 seconds and counts 19 beats. (a) How many beats per minute is this? (b) Has Carol met her target heart rate of 140 beats per minute?

Cost of a Road Trip Jesse's car gets 30 miles per gallon of gas. (a) If Las Vegas is 285 miles away, how many gallons of gas are needed to get there and then home? (b) If gas is \(\$ 3.09\) per gallon, what is the total cost of the gas for the trip?

In the following exercises, solve uniform motion applications A private jet can fly 1210 miles against a 25 mph headwind in the same amount of time it can fly 1694 miles with a 25 mph tailwind. Find the speed of the jet.

In the following exercises, solve uniform motion applications Jim's speedboat can travel 20 miles upstream against a \(3 \mathrm{mph}\) current in the same amount of time it travels 22 miles downstream with a 3 mph current speed. Find the speed of the Jim's boat.

In the following exercises, solve uniform motion applications When driving the 9 hour trip home, Sharon drove 390 miles on the interstate and 150 miles on country roads. Her speed on the interstate was 15 more than on country roads. What was her speed on country roads?

In the following exercises, solve work applications. Jackson can remove the shingles off of a house in 7 hours, while Martin can remove the shingles in 5 hours. How long will it take them to remove the shingles if they work together?

In the following exercises, solve. If \(y\) varies directly as \(x\) and \(y=12.4,\) when \(x=4,\) find the equation that relates \(x\) and \(y\)

In the following exercises, solve. Terri needs to make some pies for a fundraiser. The number of apples, \(a\), varies directly with number of pies, \(p\). It takes nine apples to make two pies. (a) Write the equation that relates \(a\) and \(p\). (b) How many apples would Terri need for six pies?