SUBSITUTION METHOD WORD PROBLEMS WORKSHEET

Problem 1 :

Two numbers have a sum of 200 and a difference of 37. Find the numbers.

Solution

Problem 2 :

The difference between two numbers is 84 and their sum is 278. What is the numbers?

Solution

Problem 3 :

One number exceeds another by 11. The sum of the two numbers is 5. What are the numbers?

Solution

Problem 4 :

The larger of two numbers is four times the smaller and their sum is 85. Find the two numbers.

Solution

Problem 5 :

Find two integers such that three times the smaller is 33 more than twice the larger and twice the smaller plus five times the larger equals 250.

Solution

Problem 6 :

Two hammers and a screwdriver cost a total of $34. A hammer and 3 screwdrivers cost a total of $32. Find the price of each type of tool.

Solution

Problem 7 :

Four adults and three children go to a theatre for $74, where as two adults and five children are charged $58. Find the price of an adult’s ticket and a child’s ticket.

Solution

Problem 8 :

Three blankets and a sheet cost me $190. Two sheets and a blanket cost a total of $100. Find the cost of one blanket and one sheet.

Solution

Problem 9 :

Seven peaches plus eight nashi cost me $273 altogether. However, three peaches and one nashi cost a total of $66. Find the cost of one piece of each fruit.

Solution

Problem 10 :

A purse contains $3.75 in 5 cent and 20 cent coins. If there are 33 coins altogether, how many of each type of coin are in the purse?

Solution

Answer Key

1)  118 1/2 and 81 1/2

2) 181 and 97

3)   8 and -3

4)  17 and 68

5)  35 and 36

6)  hammer = $14 and screwdriver = $6

7)  Adult ticket = $14 

8) Blanket = $56 and Sheet = $22

9) Peaches = 15 and Nashi = $21

10) five cent coin = 19 twenty cent coin = 14


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