A family knows two babysitters they can hire. One charges $6 an hour and the other charges $7. The family can't afford more than $42 a week for babysitting. Write the system of inequalities.

Translate to a system of equations and solve: A science center sold 1,363 tickets on a busy weekend. The receipts totaled $12,146. How many $12 adult tickets and how many $7 child tickets were sold?

In the following exercises, translate to a system of inequalities and solve. 321. Jocelyn desires to increase both her protein consumption and caloric intake. She desires to have at least 35 more grams of protein each day and no more than an additional 200 calories daily. An ounce of cheddar cheese has 7 grams of protein and 110 calories. An ounce of parmesan cheese has 11 grams of protein and 22 calories. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Could she eat 1 ounce of cheddar cheese and 3 ounces of parmesan cheese? (d) Could she eat 2 ounces of cheddar cheese and 1 ounce of parmesan cheese?

Translate to a system of equations and then solve: Erin spent 30 minutes on the rowing machine and 20 minutes lifting weights at the gym and burned 430 calories. During her next visit to the gym she spent 50 minutes on the rowing machine and 10 minutes lifting weights and burned 600 calories. How many calories did she burn for each minutes on the rowing machine? How many calories did she burn for each minute of weight lifting?

Solve the system of equations {x+y=10xy=6 (a) by graphing and (b) by substitution. (c) Which method do you prefer? Why?

Solve the system of equations {3x+y=12x=y8 by substitution and explain all your steps in words.

Use the system of three equations in three variables to solve each problem. Work schedules A college student earns 198.50 per week working three part-time jobs. Half of his 30-hour work week is spent cooking hamburgers at a fast-food chain, earning 5.70 per hour. In addition, the student earns 6.30 per hour doing janitorial work. How many hours per week does the student work at each job

Solve the system of equations {x+y=10xy=6 (a)by graphing. (b)by substitution. (c) Which method do you prefer? Why?

In the following exercises, translate to a system of inequalities and solve. 319. Jake does not want to spend more than $50 on bags of fertilizer and peat moss for his garden. Fertilizer costs $2 a bag and peat moss costs $5 a bag. Jake’s van can hold at most 20 bags. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Can he buy 15 bags of fertilizer and 4 bags of peat moss? (d) Can he buy 10 bags of fertilizer and 10 bags of peat moss?

In the following exercises, translate to a system of inequalities and solve. 316. Jake does not want to spend more than $50 onbags of fertilizer and peat moss for his garden.Fertilizer costs $2 a bag and peat moss costs $5 a bag. Jake’s van can hold at most 20 bags. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Can he buy 15 bags of fertilizer and 4 bags of peat moss? (d) Can he buy 10 bags of fertilizer and 10 bags of peat moss?