Solving Systems Word Problems HW

Name_____________________________________________________Solving Systems Word Problems HW1. Find the value of two numbers if their sum is 12 and their difference is 4.2. Find two numbers such that the sum of the first and three times the second is 5 and the sum of the second and twotimes the first is 8.3. Pam has two part time jobs. At one job, she works as a cashier and makes $8 per hour. At the second job, she worksas a tutor and makes $12 per hour. One week she worked 30 hours and made $268. How many hours did she spend ateach job?4. The owner of a men’s clothing store bought six belts and eight hats for $140. A week later, at the same prices, hebought nine belts and six hats for $132. Find the price of a belt and the price of a hat.5. The admission fee at a small fair is $1.50 for children and $4.00 for adults. The fair can hold a maximum of 2,200people, but needs $5000 in order for the fair to make a profit. Write a system of inequalities to represent the situation.If 1600 children attend the fair, is It possible for the fair to make a profit? Justify your answer.

6. Andy’s Cab Service charges a $6 fee plus $0.50 per mile. His twin brother Randy starts a rival business where hecharges $0.80 per mile, but does not charge a fee.a. Write a cost equation for each cab service in terms of the number of miles.b. Find the number of miles that results in cost of Andy’s Cab Service being the same as his brother Randy’s business.c. For what trip distances should a customer use Andy’s Cab Service?For what trip distances should a customer use Randy’s Cab Service?7. A potter is making cups and plates. It takes her 6 min. to make a cup and 3 min. to make a plate. Each cup uses lb.of clay and each plate uses 1 lb. of clay. She has 20 hours available to make the cups and plates and has 250 lb. of clay.a. Is the given graph an accurate representation of the solution set ofnumber of cups and plates? Why or why not?b. Use words to describe the set of all possible combinations of cups and plates that the potter couldmake during this time.