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Title:
Hotmath
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Hotmath
Chapter: Solving Linear Systems Section: Problem Solving Using Linear Systems
 

Problem: 1

Match the situation with one of the linear systems.

You have 9 packages of toilet paper. Some packages have 3 rolls, but some have only 1 roll. In all, there are 20 rolls.

A) x + 9 y = 20 and x + 3 y = 25

B) x + y = 9 and x + 3 y = 20

C) x + y = 9 and x + 5 y = 25

 

Problem: 3

Match the situation with one of the linear systems.

You have some $1 bills and $5 bills. In all, you have 9 bills worth $25.

A) x + 9 y = 9 and x + 3 y = 25

B) x + y = 9 and x + 3 y = 20

C) x + y = 9 and x + 5 y = 25

 

Problem: 5

Match the situation with one of the linear systems.

You have some $2 bills and $5 bills. In all, you have 7 bills worth $29.

A) x + 2 y = 7 and x + 5 y = 29

B) 5 x + 2 y = 29 and x + y = 7

C) x + y = 29 and 5 x + 2 y = 7

 

Problem: 7

In a 14–foot (168–inch) strip of garden in front of your house, you plan to plant broccoli and peas. Each broccoli plant needs 16 inches of space, and each pea plant needs 8 inches. You want a total of 15 plants. How many of each type of plant can you have?

 

Problem: 9

You drive 210 miles to a relative's house. It takes you 4 hours. Part of the time you're on a freeway, where the speed limit is 60 mph. The rest of the time you're on smaller roads, where the speed limit is 30 mph. Supposing you drove exactly at the speed limit the whole way, how much time did you spend on each type of road?