Proportion Problem Solving

Proportion Problem Solving-12
Then, 12/100 = x/60 → x = 7.2 ml Therefore, 7.2 ml is present in 60 ml of water. So in order to get a 8% chlorine solution, we need to add 90-60 = 30 ml of water.In order for this 7.2 ml to constitute 8% of the solution, we need to add extra water. Question: There is a 20 litres of a solution which has 20% of bleach.Question: In a certain room, there are 28 women and 21 men. What is the ratio of women to the total number of people?

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If the total number of people in the group is 72, what is the number of lawyers in the group? Question: In a bag, there are a certain number of toy-blocks with alphabets A, B, C and D written on them.

Solution: Let the number of doctors be 5x and the number of lawyers be 4x. The ratio of blocks A: B: C: D is in the ratio 4:7:3:1.

Therefore, 5/6 = 20/____To get 20 in the numerator, we have to multiply 5 by 4. 6 by 4Thus, 5/6 = 20/6 × 4 = 20/24Hence, the required numbers is 243. Therefore, 12, x, 8 and 14 are in proportion i.e., 12 : x = 8 : 14⇒ x × 8 = 12 × 14, [Since, the product of the means = the product of the extremes]⇒ x = (12 × 14)/8⇒ x = 21Therefore, the second term to the proportion is 21.

The first, third and fourth terms of a proportion are 12, 8 and 14 respectively.

Extra bleach is added to it to make it to 50% bleach solution. So, for each kg of cashews added, let’s consider it as ‘-5’ and for each kg of walnuts added, let’s consider it as ‘ 15’.

How much water has to be added further to bring it back to 20% bleach solution? In the first part, there is 20% of bleach in 20 L of solution → 4 L of bleach in 16 L of water = 20 L of solution. These two have to be added in such a way that they cancel out each other.

If the number of ‘A’ blocks is 50 more than the number of ‘C’ blocks, what is the number of ‘B’ blocks?

Solution: Let the number of the blocks A, B, C, D be 4x, 7x, 3x and 1x respectively 4x = 3x 50 → x = 50. Question: If the ratio of chocolates to ice-cream cones in a box is 5:8 and the number of chocolates is 30, find the number of ice-cream cones.

Therefore, 45 litres of sugar solution has to be added to bring it to the ratio 2:1.

Question: A certain recipe calls for 3kgs of sugar for every 6 kgs of flour.

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