100\(~\rm{mL}\) of a mixture of water and acid contains 5% acid. How much water must be added to reduce the acid to 2% of the mixture?
Answer
\(150~\rm{mL}\)
Worked Solution
Question 2
11383
Harry, Milly and Jane invest $20770 in a startup business. The ratio of Harry to Molly's investment is 3:5. The ratio of Molly's to Jane's is 4:7. The amount of Harry's investment was?
Answer
\(\$ 3720\)
Worked Solution
Question 3
11367
Three men John, Sam and Simon invest money in the order of \(1:2:3\) respectively. If the total investment was \($882\), then Sam would have invested?
Answer
\(\$ 294\)
Worked Solution
Question 4
11368
In a particular school, the ratio of boys to girls is \(17:15\). If there are \(323\) boys in the school, then the total student population is?
Answer
\(608\)
Worked Solution
Question 5
11369
A solution is made by mixing acid with water in the ratio \(3:47\). The solution is then mixed with water in the ratio \(1:5\). The amount of acid in the final solution of \(\text{600/mL}\) is?
Answer
\(\text{6 mL}\)
Worked Solution
Question 6
11370
The ratio of the populations of town A to town B is \(4:3 \) and the ratio of town B to town C is \(6:5\). If the population of town C is \(12495\), then the population of town A is?
Answer
\(19992\)
Worked Solution
Question 7
10796
There are a total of 68 balls. The ratio of the number of blue balls to red balls is \(1:2\). The ratio of the number of red balls to green balls is \(3:4\). How many green balls are there?
Answer
\(32\)
Worked Solution
Question 8
10797
60 ml of a mixture of water and chlorine contains 10% of chlorine. How much water must be added to reduce the chlorine to 3% of the mixture?
Answer
\(\text{140 ml}\)
Worked Solution
Question 9
10791
A square has a side length of 4 cm. If the side length is doubled, then the ratio of the area of the original square to the larger square is?
Answer
\(1:4\)
Worked Solution
Question 10
10793
In a particular school the ratio of boys to girls is \(5:7\). If the total student population is 756, then the number of girls is?
Answer
\(441\)
Worked Solution
Question 11
10795
Three sides of a triangle in the ratio \(3:4:5\). If the longest side of the triangle is 11.5 cm then the perimeter of the triangle is?