Page 55 - Algebra 1

6.
Let Susanne age be x
Peter’s age by y
x – y = 5..............(1)
Age of Rosy =2x
y = 3(Age of Kelly)
Age of Rosy – Age of Kelly = 55
𝑦
2x- =55
3
6x – y = 165 ......... (2)
(2) – (1)
5x = 160
x = 32 years y = 27 years
Susanne = 32 years
Peter = 27 years
Let the number in ten’s place be x
7.
8.
9. B:G=5:6 𝐵=5
𝐺6
or
B = 50
G = 60
Total students = 50 + 60 = 110
10.
x = 11
Number = 10x + u
x=u+5
Number = 10 (u + 5) + u
Number = 11u + 50
Let the first multiple of 4 be x
Second multiple = x + 4
Third multiple = x + 8
x + x + 4 + x + 8 = 444
3x + 12 = 444
3x = 432
x = 144
Largest multiple = x + 8 = 144 + 8 = 152
6B = 5G
G = B + 10
5G = 5B + 50
6B = 5B + 50
Total number of flowers at the beginning = 77
Given ratio = 4:7 or 4x: 7x
7x = 77
Flowers remaining = 4x = 44
Flowers offered = 77 – 44 = 33
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ALGEBRA