Name _______________________________________
Word Problems Homework #3
1.
Gus is 13 years older than Jorge. The sum of their ages is 41. Find the
age of each.
2.
The difference in two numbers is 7. Two times the larger number,
decreased by 3 times the smaller number is 5. Find the two numbers.
3.
Tina drove 4 times as far as Rhonda drove. The sum of these distances
is 150 miles. How far did each drive?
4.
A board 96 inches long is cut into 2 pieces. The first piece is 6 inches
longer than twice the length of the second piece. How long is each
piece?
5.
Alice earns $4 per hour. Harry earns $5 per hour. Together they
worked 40 hours and earned a total of $178. How many hours did
each of them work?
6.
A 20% alcohol solution is mixed with a 35% alcohol solution to obtain
60 fluid ounces of 25% alcohol solution. How many fluid ounces of
each are needed?
7.
There are five fewer dimes than nickels. The total value is $4.00. How
many coins are there of each type?
8.
The sum of two numbers is 52. Their difference is 36. Find the two
numbers.
9.
George is 6 times as old as Bobby. The sum of their ages is 98. How
old is each boy?
10. The sum of the digits of a two-digit number is 9. The tens digit is 3 less
than the units digit. Find the number.
11. Mario is 4 times as old as Jeremy. The difference between their ages
is 12. Find the age of each.
12. Separate $63 into two parts so that one amount is $12 less than twice
the other amount.
13. Mr. Guzman weighs twice as much as his son. Together they weigh
240 lbs. How much does each weigh?
14. Carl scored 7 more than twice as many points as Eric. Together they
scored 37 points. How many points did each score?
15. Lee sold 45 tickets to the pancake breakfast and collected $105. Adult
tickets cost $3.00 each and children’s tickets are $1.00 each. How
many of each type of ticket did he sell?
16. A bus left Austin averaging 5 mph. One-half hour later an express bus
left the same station averaging 60 mph. How long will it take the
express bus to catch the other bus?
17. A can of cashews mixed with almonds costs $24.60. Cashews cost
$4.25 per lb. and almonds cost $3.80 per lb. There are twice as many
cashews as almonds in the can. How many pounds of each type are in
the can?
18. If Jon and Frank combine their money, they will have $87. Jon has $20
more than Frank. How much money does each have?
19. The sum of Carl’s and Patricia’s’ ages is 30. Thirteen years ago, Patricia
was three times as old as Carl. How old is each now?
20. The sum of the digits of a two-digit number is 9. The numbers is 9
times the units digit. Find the number.