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# Word problems - a set of practice problems

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1 In a class, there are 20 men and 15 women. Find the ratio of the number of men to the number of students in the class. First express the ratio as a fraction reduced to lowest terms. Then re write the ratio using a second method.

2.Determine whether each of the ordered pair is a solution of
3x-4y>7:

(0,0), (3,-6), (-2,-5),(-3,4)

3. A chemist needs to mix a 40% acid solution with a 70% acid solution to obtain the 12 litters of a 50% acid solution. How many liters of each of the acid solutions must be used? (2 points)

4. solve the portion: 45/2 = 360/x

5.graph each equation or inequality in the rectangular coordinate system. (4 points)
a.2x-y =4

b.3x-2y<-6

6 Solve each system by the graphing method. If there is no solution or an infinite number of solutions, state so.

a)2x-3y=12
-2x+y=-8

b)3x+2y=6
3x-2y=6

7. Solve each system by the substitution method. If there is no solution or an infinite number of solutions, state so.
a) 2x-y=6
x=13-2y

b) 3x+4y=-13
5y-x=-21

8.Solve each system by the addition method. If there is no solution or an infinite number of solutions, state so.

3x-4y=1
12x-y=-11

9. Health experts agree that cholesterol intake should be limited to 300 mg or less a day. Three ounces of shrimp and 2 ounces of scallops contain 156 mg of cholesterol. Five ounces of shrimp and 3 ounces of scallops contain 45 mg of cholesterol less than the suggested maximum daily intake (300 mg). Determine the cholesterol content of an ounce of each item.

PLEASE SHOW ALL WORK INCLUDING ANY GRAPHS. THANKS