A. 9
B. 24
C. 6
D. 16
Step-by-step explanation:
Given ratios are;
A. 2 : 3 = 6 : x
Product of mean = Product of extreme
[tex]6*3=2*x\\18=2x\\2x=18[/tex]
Dividing both sides by 2
[tex]\frac{2x}{2}=\frac{18}{2}\\x=9[/tex]
B. 4 : 7 = x : 42
Product of mean = Product of extreme
[tex]7x=168[/tex]
Dividing both sides by 7
[tex]\frac{7x}{7}=\frac{168}{7}\\x=24[/tex]
C. 2x : 48 = 3 : 12
Product of extreme = Product of mean
[tex]2x*12=48*3\\24x=144[/tex]
Dividing both sides by 24
[tex]\frac{24x}{24}=\frac{144}{24}\\x=6[/tex]
D. 12 : 15 = x : 20
Product of mean = Product of extreme
[tex]15*x=12*20\\15x=240[/tex]
Dividing both sides by 15
[tex]\frac{15x}{15}=\frac{240}{15}\\x=16[/tex]
