HW #29 Solving by Substitution
Name__________________________________
For each of the problems below, write a system of equations and then solve:
1. Sam and Hector are gaining weight for football season. Sam weighs 205 pounds and is gaining two pounds per
week. Hector weighs 195 pounds but is gaining three pounds per week. In how many weeks will they both
weigh the same amount?
2. Harold and Marg work at Burger Queen. Harold currently has $25 in his bank account and makes $10 per hour.
Marg currently has no money in her bank account $12 per hour. How many hours do they need to work to have
the same amount?
HW #29 Solving by Substitution
Name__________________________________
For each of the problems below, write a system of equations and then solve:
1. Sam and Hector are gaining weight for football season. Sam weighs 205 pounds and is gaining two pounds per
week. Hector weighs 195 pounds but is gaining three pounds per week. In how many weeks will they both
weigh the same amount?
2. Harold and Marg work at Burger Queen. Harold currently has $25 in his bank account and makes $10 per hour.
Marg currently has no money in her bank account $12 per hour. How many hours do they need to work to have
the same amount?
3. Janelle has $20 and is saving $6 per week. April has $150 and is spending $4 per week. When will they both have
the same amount of money?
4. The sale of Gizmo Sports Drink at the local supermarket is currently 6,500 bottles monthly. Since New Age
Refreshers were introduced, sales of Gizmo have been declining by 55 bottles per month. New Age currently
sells 2,200 bottles monthly and its sales are increasing by 250 bottles per month. If these rates of change remain
the same, in about how many months will the sales for both companies be the same? How many bottles will
each company be selling at that time?
1) (10, 225) 2) (12.5, 150) 3) (13, 98) 4) (14.1, 5724.6)
3. Janelle has $20 and is saving $6 per week. April has $150 and is spending $4 per week. When will they both have
the same amount of money?
4. The sale of Gizmo Sports Drink at the local supermarket is currently 6,500 bottles monthly. Since New Age
Refreshers were introduced, sales of Gizmo have been declining by 55 bottles per month. New Age currently
sells 2,200 bottles monthly and its sales are increasing by 250 bottles per month. If these rates of change remain
the same, in about how many months will the sales for both companies be the same? How many bottles will
each company be selling at that time?
1) (10, 225) 2) (12.5, 150) 3) (13, 98) 4) (14.1, 5724.6)