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Two containers of gasoline hold a total of fifty gallons. The big container can hold ten gallons less than twice the small container. How many gallons does each container hold?

The small container holds 20 gallons and the large container holds 30 gallons.

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June needs 48 gallons of punch for a party and has two different coolers to carry it in. The bigger cooler is five times as large as the smaller cooler. How many gallons can each cooler hold?

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Shelly spent 10 minutes jogging and 20 minutes cycling and burned 300 calories. The next day, Shelly swapped times, doing 20 minutes of jogging and 10 minutes of cycling and burned the same number of calories. How many calories were burned for each minute of jogging and how many for each minute of cycling?

There were 10 calories burned jogging and 10 calories burned cycling.

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Drew burned 1800 calories Friday playing one hour of basketball and canoeing for two hours. Saturday he spent two hours playing basketball and three hours canoeing and burned 3200 calories. How many calories did he burn per hour when playing basketball?

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Troy and Lisa were shopping for school supplies. Each purchased different quantities of the same notebook and thumb drive. Troy bought four notebooks and five thumb drives for $116. Lisa bought two notebooks and three thumb dives for $68. Find the cost of each notebook and each thumb drive.

Notebooks are $4 and thumb drives are $20.

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Nancy bought seven pounds of oranges and three pounds of bananas for $17. Her husband later bought three pounds of oranges and six pounds of bananas for $12. What was the cost per pound of the oranges and the bananas?

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Solve Geometry Applications In the following exercises, translate to a system of equations and solve.

The difference of two complementary angles is 30 degrees. Find the measures of the angles.

The measures are 60 degrees and 30 degrees.

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The difference of two complementary angles is 68 degrees. Find the measures of the angles.

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The difference of two supplementary angles is 70 degrees. Find the measures of the angles.

The measures are 125 degrees and 55 degrees.

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The difference of two supplementary angles is 24 degrees. Find the measure of the angles.

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The difference of two supplementary angles is 8 degrees. Find the measures of the angles.

94 degrees and 86 degrees

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The difference of two supplementary angles is 88 degrees. Find the measures of the angles.

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The difference of two complementary angles is 55 degrees. Find the measures of the angles.

72.5 degrees and 17.5 degrees

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The difference of two complementary angles is 17 degrees. Find the measures of the angles.

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Two angles are supplementary. The measure of the larger angle is four more than three times the measure of the smaller angle. Find the measures of both angles.

The measures are 44 degrees and 136 degrees.

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Two angles are supplementary. The measure of the larger angle is five less than four times the measure of the smaller angle. Find the measures of both angles.

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Two angles are complementary. The measure of the larger angle is twelve less than twice the measure of the smaller angle. Find the measures of both angles.

The measures are 34 degrees and 56 degrees.

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Practice Key Terms 2

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Source:  OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
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