Mixed ratios

Twelve people cultivate the farm in 4 days

1 person will cultivate the farm in $12 \times 4 = 48$ days.

16 people will cultivate the farm in $48 \div 16 = 3$ days.

Therefore, 16 people will cultivate the farm in 3 days.

Arrange as follows:

x represents the number of days that will be spent by 16 people to cultivate the farm. Use cross-multiplication:

Multiply by following the arrows direction as shown below:

$12 \times 1 \times 4 = 16 \times 1 \times x$

$48 = 16x$

Divide both sides by 16:

$\frac{16x}{16} = \frac{48}{16}$

$x = 3$

Therefore, 16 people will cultivate the farm in 3 days.

Six workers received 300,000 shillings in 4 working days. How much will 28 workers receive in 2 working days?

Arrange the ratios of three items as follows:

y represents the income of 28 workers for 2 working days

Multiply by following the arrows direction as follows:

$6 \times y \times 4 = 28 \times 300,000 \times 2$

$24y = 28 \times 300,000 \times 2$

Divide each side by 24:

$\frac{24y}{24} = \frac{28 \times 300,000 \times 2}{24}$

$y = \frac{28 \times 300,000 \times 2}{24} = \text{sh } 700,000$

Therefore, 28 workers will get 700,000 shillings in two working days.