ALGEBRA WORD PROBLEMS ON LINEAR EQUATIONS IN ONE VARIABLE WORKSHEET

Problem 1 :

It took Thomas 25 minutes longer to do his math homework than to do his French homework. He spent a total of 2.25 hours on both subjects. How much time did he spend on math?

Solution

Problem 2 :

Jesse earns \$6 an hour babysitting for his younger brother. His mom gave him \$71 last week. This included his babysitting money and his \$20 allowance. How many hours did Jesse babysit?

Solution

Problem 3 :

Carol and Cathy are each saving money for a vacation. Carol started with \$25 and saves \$7.50 a week. Cathy started with \$10 and saves \$10 a week. When will they have saved the same amount?

Solution

Problem 4 :

One weekend Bill earned 3 times as much as Jim. Tom earned \$5 more than Jim. In all, they earned \$60. How much did each earn?

Solution

Problem 5 :

The Maxwell children have hired a caterer to provide food for an anniversary party for their parents. The caterer has quoted a price of \$96 per person and is asking for an advance payment of one-fourth of the total bill. If the advance payment is \$1200, how many guests are invited to the party?

Solution

Problem 6 :

Three children each contributed toward a birthday present for their mother. The oldest contributed three times as much as the youngest, while the second oldest contributed 50 cents more than the youngest. If the present costs \$10.50, how much did each contribute?

Solution

Problem 7 :

At a school game, student tickets were 50 cents each and adult tickets were \$1 each. If the total receipts from 900 tickets were \$500, how many tickets of each kind were sold?

Solution

Problem 8 :

A salesman sold 200 pairs of slippers. Some were sold at \$6 per pair and the remainder were sold at \$11 per pair. Total receipts from this sale were \$1600. How many pairs of slippers were sold at \$6 each?

Solution

1)  x = 55 minutes

2)  she is receiving \$8.5 for one hour of babysitting.

3) at the end of the 6th week they will have the same amount.

4) x = 11

5) number is guests were attended the party is 50.

6)  x = 2.5

7)  Number of student tickets = 800

number of adult tickets = 100

8)  Number of slippers that cost \$6 is 11.

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