Question

Share 75 birds into the ratio 8 : 5 : 2. Calculate the smallest share​

Answer 1

Answer:

The smallest share is 10 birds.

Step-by-step explanation:

To find the smallest share, we must find the smallest number in the ratio. We divide this by the sum of the individual numbers in the ratios; and multiply by the amount to be shared.

The calculation is done as follows;

$\frac{smallest share}{ total ratio}* quantity to be shared \\ \frac{2}{8 + 5 + 2} * 75 \\ \frac{2}{15}* 75 \\ \frac{150}{15} \\ 10$

The rest can be calculated by;

$\frac{8}{15} \times 75 = 40 \\ \frac{5}{15}*75 = 25$

As a check, adding the three quantities gives you 75

40 + 25 + 10 = 75

Answer 2

Answer:

10

Step-by-step explanation:

The total parts are:

8 + 5 + 2

= 15

Divide 75 with 15.

= 5

Multiply the ratio with 5.

8×5:5×5:2×5

40:25:10

The smallest share is 10.