At a football game number of men : number of women : number of children = 13 : 5 : 7 There are 4152 more men than women. Work out the number of children at the game.
The ratio of men to women at the game is 13:5. The difference between the number of men and women is 4152. Subtract 5 from 13 to work out the difference between the ratio value of men and women. 13-5=8. Divide 4152 by 8 to work out how many people 1 in the ratio represents. Then times this value (which is 519) by 7 (the ratio value for children) to work out the total number of children at the game. 519×7= 3633.
JB
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A stone is thrown upwards with a speed of v metres per second. The stone reaches a maximum height of h metres. h is directly proportional to v^2. When the stone is thrown at 10m/s, max height is 5m. Work out the maximum height reached when v = 24.
y is inversely proportional to d^2. When d = 10, y = 4. d is directly proportional to x^2. When x = 2, d = 24. Find a formula for y in terms of x. Give your answer in its simplest form.
y = (x + 2)(x + 5)