words problems
shahbaz ahmed
October 2024
1 Introduction
Q 1) 331 students went on a field trip. Six buses
were filled and 7 students traveled in cars. How
many students were in each bus?
Solution
Number of students in cars=7
Number of students who travelled in buses=331-7=324
Number of students in 6 buses=324
Number of students in 1 bus= 324
6 =54
Number of students in each bus= 54
CHECKING
Number of students in 1 bus=54
1
, Number of students in 6 buses=54 × 6= 324
Number of students in cars=7
Total students on the trip=324+7=331
Hence true as given.
......................................................................
Q 2) Aliyah had $24 to spend on seven pencils.
After buying them she had $10. How much did
each pencil cost?
Solution
Dollars spent on buying 7 pencils=$24 − $10 = $14
Dollars spent on buying 1 pencils= $ 14
7 = $2
Cost of each pencil=$2
...........................................................................
Q3) The sum of three consecutive numbers is
72. What are the smallest of these numbers?
Solution
Let the smallest number=x
Second next consecutive number=x+1
2
, Third consecutive number=x+2
The sum of three consecutive numbers=x+x+1+x+2=3x+3
As given, the sum of three consecutive numbers = 72
According to the condition
3x + 3 = 72
3x + 3 − 3 = 72 − 3
3x = 69
3x 69
3 = 3
x = 23
Smallest number=23
CHECKING Let the smallest number=23
Second next consecutive number=23+1=24
Third consecutive number=23+2=25
The sum of three consecutive numbers=23+24+25=72
As given, the sum of three consecutive numbers = 72
Given condition is satisfied.
..................................................................
Q4) The sum of three consecutive even num-
3
shahbaz ahmed
October 2024
1 Introduction
Q 1) 331 students went on a field trip. Six buses
were filled and 7 students traveled in cars. How
many students were in each bus?
Solution
Number of students in cars=7
Number of students who travelled in buses=331-7=324
Number of students in 6 buses=324
Number of students in 1 bus= 324
6 =54
Number of students in each bus= 54
CHECKING
Number of students in 1 bus=54
1
, Number of students in 6 buses=54 × 6= 324
Number of students in cars=7
Total students on the trip=324+7=331
Hence true as given.
......................................................................
Q 2) Aliyah had $24 to spend on seven pencils.
After buying them she had $10. How much did
each pencil cost?
Solution
Dollars spent on buying 7 pencils=$24 − $10 = $14
Dollars spent on buying 1 pencils= $ 14
7 = $2
Cost of each pencil=$2
...........................................................................
Q3) The sum of three consecutive numbers is
72. What are the smallest of these numbers?
Solution
Let the smallest number=x
Second next consecutive number=x+1
2
, Third consecutive number=x+2
The sum of three consecutive numbers=x+x+1+x+2=3x+3
As given, the sum of three consecutive numbers = 72
According to the condition
3x + 3 = 72
3x + 3 − 3 = 72 − 3
3x = 69
3x 69
3 = 3
x = 23
Smallest number=23
CHECKING Let the smallest number=23
Second next consecutive number=23+1=24
Third consecutive number=23+2=25
The sum of three consecutive numbers=23+24+25=72
As given, the sum of three consecutive numbers = 72
Given condition is satisfied.
..................................................................
Q4) The sum of three consecutive even num-
3
