Question

a) Write 144: 120 in simplest form.
b) Find the value of x in: x: 12::5:8
c) Divide £ 3520 in the ratio: 5:7:8.
d) Find A:B:C, if 3A = 78 = 9C.​

Answer 1

Answer:

a)

$\frac{144}{120} = \frac{11}{10}$

=11:10

b)

$\frac{x}{12} = \frac{5}{8} \\ x = \frac{5 \times 12}{8} \\ x = \frac{15}{2} = 7.5$

c)

Sum of ratio terms =5+7+8=20

Dividing in the ratio 5=

$\frac{5}{20} \times 3520 = \frac{1}{4} \times 3520 \\ = 880$

Dividing in the ratio 7=

$\frac{7}{20} \times 3520 = 7 \times 176 \\ =123 2$

Dividing in the ratio 8=

$\frac{8}{20} \times 3520 = \frac{2}{5} \times 3520 \\ = 2 \times 704 = 1408$