Page 87 - Mathematics
P. 87
Example 5.12 Since the difference between the two
numbers is 48, and it is not specified
The sum of two numbers is 20. If which number is larger or smaller
one of the numbers is 8, form a linear than the other, then the equations Tanzania Institute of Education
equation connecting the two numbers. which relates the numbers is either
z − p = 48 or pz−= 48.
Solution
Let x be the unknown number. Since Example 5.15
the known number is 8, then the
algebraic equation connecting the A product from a company requires
x
two numbers is 8 += 20. 4 and 3 units of materials of type A
and B, respectively. If the company
has a total of 20 units of materials,
Example 5.13 formulate the equation relating the
types of materials.
The difference between 24 and Solution
another number is 8. Form a linear
equation connecting the numbers. Let: x be the number of materials
of type A.
Solution y be the number of materials
Let y be the unknown number. of type B.
Since the known number is 24, then
the algebraic equation connecting the Total units of the materials available
two numbers is either 24 y−= or are 20.
8
y − 24 8.= Total units of materials of type A
and B are 4x and 3y respectively.
Example 5.14 Therefore, the equation relating the
two types of materials is 4x + 3y = 20.
The difference between two numbers
is 48. Form a linear equation which
describes the relationship between Exercise 5.2
the two numbers.
Formulate a linear equation in each
Solution of the following statements. Mathematics Form One
Let z be one of the numbers and p be 1. Five times a number gives
the other number.
twenty.
81
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Mathematics form 1.indd 81 25/10/2024 09:51:25
Mathematics form 1.indd 81
