Answer:
y = 8; x = 6 [tex]\frac{7}{8}[/tex] ; n = 1 [tex]\frac{2}{23}[/tex] ; p = 55
Step-by-step explanation:
First proportion
// How to solve it
// firstly, multiply both sides by y, so that y would be in numerator
[tex]\frac{16}{16} * y[/tex] = [tex]\frac{8}{y} * y[/tex]
// now we get
[tex]\frac{16y}{16}[/tex] = 8
// secondly, divide both sides by [tex]\frac{16}{16}[/tex], so that we'd have y on one side and the expression on the other side
y = [tex]\frac{16}{16}*8[/tex]
// since [tex]\frac{16}{16}[/tex] = 1
y = 8
Second proportion
// divide both sides by 22, so that there'd be unknown variable x on one side and the expression on the other side
x = [tex]\frac{10*22}{(y*4)}[/tex]
Is this y from the first proportion?
If so, then x = [tex]\frac{10*22}{(8*4)}[/tex] = [tex]\frac{220}{32}[/tex] = [tex]\frac{55}{8}[/tex] = 6 [tex]\frac{7}{8}[/tex]
Third proportion
// divide both sides by 5
n = [tex]\frac{5}{23} * 5[/tex] = [tex]\frac{25}{23}[/tex] = 1 [tex]\frac{2}{23}[/tex]
Fourth proportion
// divide both sides by 10
p = [tex]\frac{22}{4} *10[/tex] = 55
