7.1 Word Problems

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NAME _____________________________________________ DATE ____________________________ PERIOD _____________
7-1 Practice
Ratios and Proportions
1. NUTRITION One ounce of cheddar cheese contains 9 grams of fat. Six of the grams of fat are saturated fats. Find the
ratio of saturated fats to total fat in an ounce of cheese.
2. FARMING The ratio of goats to sheep at a university research farm is 4:7. The number of sheep at the farm is 28.
What is the number of goats?
3. QUALITY CONTROL A worker at an automobile assembly plant checks new cars for defects. Of the first 280 cars
he checks, 4 have defects. If 10,500 cars will be checked this month, predict the total number of cars that will have
defects.
Solve each proportion.
5
4. 8 =
7.
π‘₯+2
3
π‘₯
12
=
π‘₯
8
9
5. 1.12 =
1
5
3π‘₯ − 5
4
=
8.
6π‘₯
6. 27 = 43
−5
7
9.
π‘₯−2
4
=
π‘₯+4
2
10. The ratio of the measures of the sides of a triangle is 3:4:6, and its perimeter is 104 feet. Find the measure of each side
of the triangle.
11. The ratio of the measures of the sides of a triangle is 7:9:12, and its perimeter is 84 inches. Find the measure of each
side of the triangle.
12. The ratio of the measures of the sides of a triangle is 6:7:9, and its perimeter is 77 centimeters. Find the measure of
each side of the triangle.
13. The ratio of the measures of the three angles is 4:5:6. Find the measure of each angle of the triangle.
14. The ratio of the measures of the three angles is 5:7:8. Find the measure of each angle of the triangle.
15. BRIDGES A construction worker is placing rivets in a new bridge. He uses 42 rivets to build the first 2 feet of the
bridge. If the bridge is to be 2200 feet in length, predict the number of rivets that will be needed for the entire bridge.
Chapter 7
9
Glencoe Geometry
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
7-1 Word Problem Practice
Ratios and Proportions
1. TRIANGLES The ratios of the measures of the
angles in β–³DEF is 7:13:16.
4. CARS A car company builds two versions of one of
its models—a sedan and a station wagon. The ratio of
sedans to station wagons is 11:2. A freighter begins
unloading the cars at a dock. Tom counts 18 station
wagons and then overhears a dock worker call out,
“Okay, that’s all of the wagons . . . bring out the
sedans!” How many sedans were on the ship?
5. DISASTER READINESS The town of Oyster Bay
is conducting a survey of 80 households to see how
prepared its citizens are for a natural disaster. Of those
households surveyed, 66 have a survival kit at home.
Find the measure of the angles
a. Write the ratio of people with survival kits in the
survey.
2. RATIONS Sixteen students went on a week-long
hiking trip. They brought with them 320 specially
baked, protein-rich, cookies. What is the ratio of
cookies to students?
b. Write the ratio of people without survival kits in
the survey.
3. CLOVERS Nathaniel is searching for a four-leaf
clover in a field. He finds 2 four-leaf clovers during
the first 12 minutes of his search. If Nathaniel spends
a total of 180 minutes searching in the field, predict
the number of four-leaf clovers Nathaniel will find.
Chapter 4
c. There are 29,000 households in Oyster Bay.
If the town wishes to purchase survival kits for
all households that do not currently have one, predict
the number of kits it will have to purchase
12
Glencoe Geometry
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