The population of Vanola is 36 000. The population of Oldtown is 45000.

( a ) Write the ratio of these populations in its simplest form.


( 2 )

( b ) In Vanola, 21 % of the population are children.
Calculate the number of children in Vanola.



( 2 )

( c ) In Oldtown there are 12 150 children.
Calculate the percentage of the population of Oldtown who are children.

( 2 )

( d ) ( i ) Write the population of Vanola as a fraction of the total
population of the two towns.
Give your answer in its simplest form.

( 2 )
( ii ) Write 45 000 in standard form.



( 1 )

( e ) The population of Lalola is 39 000, rounded to 2 significant figures.
Complete the statement below.

__________________ < population < __________________ ( 2 )

1 answer

(a) The ratio of the populations in its simplest form is 4:5.

(b) Number of children in Vanola = 36,000 * 21% = 7,560 children.

(c) Percentage of children in Oldtown = (12,150 / 45,000) * 100% = 27%.

(d)
(i) The population of Vanola as a fraction of the total population = 36,000 / (36,000 + 45,000) = 36,000 / 81,000 = 4/9.

(ii) 45,000 in standard form is 4.5 x 10^4.

(e) 39,000 rounded to 2 significant figures is 4.0 x 10^4.
So, the complete statement is 4.0 x 10^4 < population < 4.5 x 10^4.