Tickets to a concert cost \(\$ 20\) for an adult and \(\$ 12\) for children. If 500 people paid to attend the concert and the total money paid was \(\$ 8400\), how many adults and how many children attended the concert?

The straight line \(y=mx+b\) passes through the points (-1,-5) and (3,7). Form two equations in \(m\) and \(b\) then solve them to find the equation of the line.

Let \(x\) be the numerator and \(y\) be the denominator of a fraction. The denominator is 2 more than the numerator. If 1 is subtracted from both the numerator and the denominator, the denominator is then twice the numerator. What is the fraction?

Find two numbers such that if 10 is added to the first number it becomes 3 times the second number, and if 2 is added to the second number it becomes equal to the first number.

Tom's mother is now 4 times as old as Tom. Four years ago she was 7 times his age what are their ages now?

Bill and Ben have \(\$ 75\) between them. Bills money is two thirds of Ben's amount. How much money does each have.

Milk is sold in either 600 ml or 1L cartons. A store holder ordered 84 litres and received 100 cartons, How many of each size carton did he receive?

I tossed a coin \({\rm{30}}\) times. The number of times I tossed a head was \({\rm{4}}\) times the number that I tossed a tail. How many times did I toss a head?

A large pizza is priced \({\rm{25\% }}\) more than a medium size pizza. The Walker family ordered \({\rm{5}}\) medium pizzas and \({\rm{8 }}\) large pizzas for \({\rm{\$ 120}}{\rm{. }}\) The Johnson's ordered \({\rm{10}}\) medium pizzas with \({\rm{12}}\) large pizzas. What was the Johnson's total bill?

Joshua is distributing chocolates among his colleagues. By giving \({\rm{3}}\) chocolates to each male and \({\rm{5}}\) chocolates to each female, he gives a total of \({\rm{195}}\) \({\rm{chocolates}}{\rm{.}}\) If he gave \({\rm{5 }}\) chocolates to each male and \({\rm{3}}\) chocolates to each female, he would have required \({\rm{2}}\)  more chocolates. How many total colleagues does Joshua have? 

\({\rm{5}}\) pencils and \({\rm{4}}\) erasers can be purchased for \({\rm{\$ 1}}{\rm{.}}\) At the same shop, I can buy \({\rm{15}}\) pencils and \({\rm{2 }}\) erasers for \({\rm{\$ 2}}{\rm{.}}\) What is the price of a pencil, in cents?

Lucas and Catherine are shopping in the same supermarket. Both of them buy Oreo packs and Toblerone bars. Lucas bought \({\rm{6}}\) Oreo packs and \({\rm{3}}\) Toblerone bars for \({\rm{\$ 27}}{\rm{.}}\) Catherine bought \({\rm{4}}\) Oreo packs and \({\rm{8}}\) Toblerone bars for \({\rm{\$ 33}}{\rm{.}}\) By how many cents is an Oreo pack costlier than a Toblerone bar?