(i)
\(\frac{2.5}{5}\) = \(\frac{x_1}{8}\)
On cross multiplication, we get
2.5 x 8 = x1 x 5
x1 = \(\frac{2.5\times 8}{5}\) = 4
\(\frac{4}{8}\) = \(\frac{x_2}{12}\)
On cross multiplication, we get
4 x 12 = 8 x x2
\(\frac{48}{8}\) = x2
6 = x2
\(\frac{6}{12}\) = \(\frac{15}{x_3}\)
On cross multiplication, we get
15 x 12 = 6 x x3
\(\frac{180}{6}\) = x3
30 = x3
(ii)
X |
5 |
7.5 |
10 |
35 |
25 |
20 |
Y |
8 |
12 |
16 |
56 |
40 |
32 |
\(\frac{5}{8}\) = \(\frac{x_1}{12}\)
On cross multiplication, we get
5 x 12 = x1 x 8
x1 = \(\frac{5\times 12}{8}\) = 7.5
\(\frac{7.5}{12}\) = \(\frac{10}{x_2}\)
On cross multiplication, we get
10 x 12 = 7.5 x x2
\(\frac{120}{7.5}\) = x2
16 = x2
\(\frac{10}{16}\) = \(\frac{35}{x_3}\)
On cross multiplication, we get
16 x 35 = 10 x x3
\(\frac{16\times 35}{10}\) = x3
56 = x3
\(\frac{35}{56}\) = \(\frac{25}{x_4}\)
On cross multiplication, we get
56 x 25 = 35 x x4
40 = x4
\(\frac{25}{40}\) = \(\frac{x_5}{32}\)
On cross multiplication, we get
25 x 32 = 40 x x5
\(\frac{25\times 32}{40}\) = x5
20 = x5
(iii)
X |
6 |
8 |
10 |
16 |
20 |
Y |
15 |
20 |
25 |
40 |
50 |
\(\frac{8}{20}\) = \(\frac{10}{x_1}\)
On cross multiplication, we get
10 x 20 = x1 x 8
x1 = \(\frac{10\times 20}{8}\) = 25
\(\frac{10}{25}\) = \(\frac{x_2}{40}\)
On cross multiplication, we get
10 x 40 = 25 x x2
\(\frac{400}{25}\) = x2
16 = x2
\(\frac{16}{40}\) = \(\frac{20}{x_3}\)
On cross multiplication, we get
20 x 40 = 16 x x3
\(\frac{20\times 40}{16}\) = x3
50 = x3