16 . Each child going to a science museum had to pay $9. One-third of this was for bus fare. What was the admission fee for adults, if children get in for half price?
17. Brian's tyre is leaking at a rate of 10ml per minute. If it went unchecked for one and a
quarter of an hour, how much air would be lost?
18. Glasses were on sale at the rate of 4 for the price of 3. If they were $1 each, how much
would a dozen cost?
19. Everybody in a class plays soccer or Rugby. Half of the class plays soccer. Of those
that play soccer, half also play rugby. If 24 students play rugby, how many students are
in the class
20. Kylie's petrol tank was half full but she used one third of this petrol in travelling to Ryde
and back. What fraction of a tank remained after the trip?

16. Adults = $12

17. 750 ml

18. $9

19. 96 students

20. 5/6x

Step-by-step explanation:

16.

A child pays = $9

Bus fee = 1/3 of $9

= 1/3× 9

= $3

Admission fee for a child= amount paid - bus fee

= $9 - $3

= $6

What was the admission fee for adults, if children get in for haprice

Children = 1/2 of adults

$6 = 1/2 × adults

Adults = 6÷ 1/2

= $12

Adults = $12

17.

Leaking rate = 10 ml per minutes

One and quarter of an hour

1 hour = 60 minutes

Quarter of an hour = 15 minutes

Total time = 75 minutes

Air lost in 75 minutes = 10 ml × 75

= 750 ml

18. 4 glasses for $3

1 dozen of glasses = 12

12 glasses = $x

4 = 3

12 = x

Cross product

4*x = 3*12

4x = 36

x = 36 / 4

= 9

x = $9

19.

Total students = x

1/2x = soccer

Rugby = 1/2 of 1/2x

= 1/2 * 1/2x

= 1/4x

24 = 1/4x

x = 24÷1/4

= 24 × 4/1

x = 96 students

20.

Total petrol = x

Petrol in the tank = 1/2x

Petrol used = 1/3 of 1/2x

= 1/3 × 1/2x

= 1/6x

Petrol remaining after the trip = x - 1/6x

= 6x-x/6

= 5/6x

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.