Application-Problems-5-3-math-homework-help
1- A motorboat traveling with the current went 70 mi in 5 h. Traveling against the current, it took 7 h to travel the same distance. Find the rate of the boat in calm water and the rate of the current.
| rate of boat | mph |
| rate of current | mph |
2- A jet plane flying with the wind went 2475 mi in 5 h. Flying against the wind, the plane could only fly 1950 mi in the same amount of time. Find the rate of the plane in calm air and the rate of the wind. (Round your answers to one decimal place.)
| rate of plane | mph |
| rate of wind | mph |
3- A rowing team rowing with the current traveled 30 km in 3 h. Rowing against the current, the team rowed 6 km in the same amount of time. Find the rate of the rowing team in calm water and the rate of the current.
| rate of team in calm water | km/h |
| rate of current | km/h |
4- Flying with the wind, a plane flew 1,120 mi in 4 h. Against the wind, the plane required 7 h to fly the same distance. Find the rate of the plane in calm air and the rate of the wind.
| rate of plane | mph |
| rate of wind | mph |
6- A carpenter purchased 50 ft of redwood and 90 ft of pine for a total cost of $259. A second purchase, at the same prices, included 80 ft of redwood and 60 ft of pine for a total cost of $322. Find the cost per foot of redwood and of pine.
| redwood | dollars per foot |
| pine | dollars per foot |
7- A merchant mixed 8 lb of a cinnamon tea with 6 lb of spice tea. The 14-pound mixture cost $38. A second mixture included 16 lb of the cinnamon tea and 4 lb of the spice tea. The 20-pound mixture cost $52. Find the cost per pound of the cinnamon tea and of the spice tea.
| cinnamon | dollars per pound |
| spice | dollars per pound |
8- During one month, a homeowner used 700 units of electricity and 100 units of gas for a total cost of $386. The next month, 500 units of electricity and 250 units of gas were used for a total cost of $315. Find the cost per unit of gas.
$
9-A chemist has two alloys, one of which is 15% gold and 10% lead and the other which is 40% gold and 50% lead. How many grams of each of the two alloys should be used to make an alloy that contains 89.5 g of gold and 69 g of lead?
| first alloy | g |
| second alloy | g |
10- A pharmacist has two vitamin-supplement powders. The first powder is 10% vitamin B1 and 30% vitamin B2. The second is 15% vitamin B1 and 20% vitamin B2. How many milligrams of each powder should the pharmacist use to make a mixture that contains 70 mg of vitamin B1 and 180 mg of vitamin B2?
| first powder | mg |
| second powder | mg |
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