The value of p and q are 32 and 24. The relationship will be as p/q = 8/6.
What is a system of equations?
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The cost of an electrical gadget and the cost of a plumbing material were in the ratio 8:6 last year ,this year each cost was reduced by GHÇ 4.00 and their ratio changed to 7:5.
Make p the subject
p = 8q/6 ........equation 1
The year the price was reduced by 4
p - 4/q - 4 = 7/5
Cross multiplication;
5(p-4) = 7(q-4)
5p-20 = 7q-28
5p - 7q = -8 .......equation 2
Subtract 8q/6 for p in equation 1
5(8q/6) - 7q = -8
Multiply through by 6
40q - 42q = -48
-2q = -48
q = 24
Subtract 24 for q in equation 1
p = 8(24)/6
p = 192/6
p = 32
Therefore, the value of p and q are 32 and 24. The relationship will be as p/q = 8/6.
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