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Question

Mathematics Question on A Mind-Reading Game

Solve the following equations:
(a) 10p = 100
(b) 10p + 10 = 100
(c)p4\frac{p}{4}=5
(d) p3\frac{-p}{3}=5
(e)3p4\frac{3p}{4}=6
(f)3s=-9
(g)3s+12=0
(h)3s=0
(i)2q=6
(j)2q-6=0
(k)2q+6=0
(l)2q+6=12

Answer

(a) 10p = 100
\Rightarrow$$\frac{10p}{10}=\frac{100}{10}[Dividing both sides by 10]
\Rightarrow$$p=10


(b) 10p + 10 = 100
\Rightarrow10p + 10-10= 100-10
\Rightarrow$$10p=90
\Rightarrow$$\frac{10p}{10}=\frac{90}{10}


(c) p4\frac{p}{4}=5
p4×4=5×4\frac{p}{4}\times 4=5\times 4
p=20p=20


(d) p3\frac{-p}{3}=5
p3×3\frac{-p}{3}\times -3= 5×3\times-3
p=15p=-15


(e) 3p4\frac{3p}{4}=6
3p4×4\frac{3p}{4}\times 4=6×4\times 4
3p=243p=24
3p3=243\frac{3p}{3}=\frac{24}{3}