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You have a five-litres jug, a three-litres jug, and unlimited supply of water. How would you come up with exactly four litres of water (with no measuring cup)?

You fill the 5-litres jug, and pour it into the 3-litres jug until it's full (now you have 2 litres in the 5-litres jug). Then, you pour out the 3-litres jug completely. Now, you pour the 2 litres from the 5...
DG
Answered by Diana G. • Maths tutor
5775 Views

There are 10 boys and 20 girls in a class. The class has a test. The mean mark for all the class is 60. The mean mark for the girls is 54. Work out the mean mark for the boys

Find the total number of people in the class 10+20=30 find the total number of marks achieved by the class 60x30=1800 since the mean mark for the girls is 54, you can work out the total marks achieved by the...
DT
Answered by Dessi T. • Maths tutor
4217 Views

Solve 10x - 7 = 4x + 5

Firstly, we want to gather similar terms. This means that we want to rearrange the equation so that all the x terms are on one side of the = sign and all the constants (the "ordinary" numbers) are ...
MO
Answered by Mary O. • Maths tutor
5172 Views

Prove that the square of an odd integer is odd.

Let n be an odd integer. This means that n is 1 more than an even integer. By definition, even integers are multiples of 2 so all even integers can be written in the form 2m where m is an integer. Therefore,...
MO
Answered by Mary O. • Maths tutor
4269 Views

Solve the inequality: x^2 - x < 12

Firstly, the equation should be rearranged to get all the non-zero terms onto one side, with the simplest way of doing this being subtracting 12 from both sides, giving the equation x 2 - x - 12 &lt; 0. Then...
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Answered by Thomas H. • Maths tutor
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