"TIP#1: Try to reduce the ratio to its simplest form by dividing both sides by common factors. E.g., for the ratio 4:2, both 4 and 2 have a common factor of 2, so divide both sides to get 2:1."
"TIP#2: Remember to convert both sides to the same unit, e.g., convert days to hours, kg to g and so on."
TIP: If the question gives you a value and a ratio, like the question below, simplify the ratio so that the value's ratio is 1, For example, if the question gives you the value of green, so change the part of the ratio that is for that value 'green', which is '2' to a '1', by dividing each part by /2 to get 2.5 : 1 : 2, now you can simply use the 2.5 as the multiplier for the amount of red, and 2 as the multiplier for the amount of white."
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TIP: When dividing a value by a ratio, you need to work out how many shares there are in total by adding the proportions together, For example, in the question below, you add 3 + 5 to get 8 shares, then divide the $240/8 to get the value of one share = $30, Ann receives 3X$30 and Bob 5x$30
TIP: "When we say 'A is directly proportional to B,' it means that B is consistently multiplied by a fixed number to make it equal to A!"
"What is this fixed number?"
"It is ALWAYS equal to A/B."
"We can see in the example below that if A = 10, B = 2, the multiplier must be 10/2 = 5. Hence, we can write the formula as A = 5B."
TIP: "When we say 'A is inversely proportional to B,' it means that B is consistently the denominator in a quotient with a fixed numerator to make it equal to A!"
"What is this fixed numerator?"
"It is ALWAYS equal to A * B."
"We can see in the example below that if A = 5, B = 6, the multiplier must be 5 * 6 = 30. Hence, we can write the formula as A = 30/B."