Question

Word Problems

1 ) The sum of three consecutive even numbers is 138.
What is the smallest of the three numbers ? _____________
2 ) Sara bought a soft drink for 3 dollars and 6 candy bars. She spent
a total of 27 dollars. How much did each candy bar cost ? _____________
3 ) Oceanside Bike Rental Shop charges a 11 dollar fixed fee plus 8 dollars an
hour for renting a bike. Melanie paid 59 dollars to rent a bike. How many
hours did she pay to have the bike checked out ? _____________
4 ) Keith bought 6 new baseball trading cards to add to his collection. The next
day his dog ate half of his collection. There are now only 29 cards left.
How many cards did Keith start with ? _____________
5 ) The sum of three consecutive numbers is 84.
What is the smallest of the three numbers ? _____________
6 ) The sum of three consecutive odd numbers is 69.
What is the smallest of the three numbers ? _____________
7 ) Melanie sold half of her comic books and then bought 6 more. She now has
12. How many did she begin with ? _____________
8 ) Mike spent half of his allowance going to the movies. He washed the family
car and earned 9 dollars. What is his weekly allowance if he ended with
12 dollars ? _____________
9 ) On Monday, 291 students went on a trip to the zoo. All 5
buses were filled and 6 students had to travel in cars. How many students were
in each bus ? _____________
10 ) Sally had 184 dollars to spend on 9 books. After
buying them she had 13 dollars. How much did each book cost ? _____________

Answer 1

1. 45

write the consecutive numbers as x, x+1 and x+2 as its a sum 3x+3=138 so 3x+135 and x=45

2.$4

27-3=24, 6 candy bars for $24 dollars so $4 each

3. 6 hours

59-11 initial fee is $48 at a rate of $8 per hour, 48/8 is 6hours

4.52

29 is half of what he had once getting 6 new cards

so 58-6  52 giving the original number

5.27

using the same method as 1

6.21

odd numbers must be written as 2n+1,2n+3,2n+5

the sum 6n+9 =69

n=10

2n+1=21

7. 12

12-6 =6

6x2=12

8.$6

12-9=3

this is half the allowance so the  is 3x2=6

9.57

291-6=285 is the number in all 5 buses total

285/5=57 students per bus

10.19

184-13= 171 dollars spent on all nine books

171/9=19 per book