`Read these problems carefully them solve them. Please show your working.
The sum of three consecutive odd numbers is 147. What is the smallest of the three numbers ? x + x + 2 + x + 4 = 147
3 x + 6 = 147
- 6 - 6
3x = 141
3 3
x = 47
Nancy sold half of her comic books and then bought 7 more. She now has 18. How many did she begin with ? ½ x + 7 = 18
- 7 - 7
½ x 11
X 2 x 2
X = 22
The sum of three consecutive numbers is 120. What is the smallest of the three numbers ? 3n+n1+n+2=120
3n+3=120
-3 -3
--------------
3n= 117
--- ---
3 3
= 39
Oceanside Bike Rental Shop charges 17 dollars plus 8 dollars an hour for renting a bike. Joan paid 49 dollars to rent a bike. How many hours did she pay to have the bike checked out ?
17 8 per hour =$49
8hr + 17=49
-17 -17
----------------
8h =32
--- ---
8 8
h=4
Nancy had 144 dollars to spend on 7 books. After buying them she had 11 dollars. How much did each book cost ?
$144 7 books $11 left
- 11
---------
$133 spent on buying the books
133÷7=$19 cost of each book.
Dan bought 4 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 28 cards left. How many cards did Dan start with ? ½ ( n + 4 ) = 28
X 2 x 2
N + 4 = 56
- 4 - 4
N = 52
The sum of three consecutive even numbers is 174. What is the smallest of the three numbers ? 2n + ( 2n + 2 ) + 2n + 4 = 174
6n + 6 = 174
- 6 - 6
6n = 168
6 6
N = 28
Keith spent half of his allowance going to the movies. He washed the family car and earned 7 dollars. What is his weekly allowance if he ended with 15 dollars ?
½ x + 7 = 15
- 7 - 7
½ X = 8
X 2 x 2
X = 16
On Monday, 425 students went on a trip to the zoo. All 7 buses were filled and 5 students had to travel in cars. How many students were in each bus ?
425 - 5 = 420 ÷ 7 = 60
Dan bought a soft drink for 3 dollars and 7 candy bars. He spent a total of 24 dollars. How much did each candy bar cost ?
7 c + 3 = 24
- 3 - 3
7c = 21
7 7
C = 3
