7.2 – Solving by Substitution Applications
1. At a hockey game, a vender sold a combined total of 146 sodas and hot dogs. The number of
sodas sold was 40 more than the number of hot dogs sold. Find the number of sodas sold and
the number of hot dogs sold.
2. At a basketball game, a vender sold a combined total of 232 sodas and hot dogs. The number
of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the
number of hot dogs sold.
3. The sum of two numbers is 53 and the difference is 27. What are the numbers?
4. At a football game, a vender sold a combined total of 198 sodas and hot dogs. The number of
hot dogs sold was 54 less than the number of sodas sold. Find the number of sodas sold and
the number of hot dogs sold.
5. The sum of two numbers is 27. One number is 2 times as large as the other. What are the
numbers?
6. The sum of two numbers is 57 and the difference is 1. What are the numbers?
7. A textbook store sold a combined total of 340 math and sociology textbooks in a week. The
number of sociology textbooks sold was 56 less than the number of math textbooks sold. How
many textbooks of each type were sold?
8. A washer and dryer cost a total of $952. The cost of the washer is three times the cost of the
dryer. Find the cost of each item.
9. A computer and printer cost a total of $976. The cost of the computer is three times the cost of
the printer. Find the cost of each item.