Solving Problems with Simultaneous Linear Equations - Questions

Question 1
13198

The larger of two numbers is three times the smaller and their difference is 34. The numbers are? 

\(51,\,17\)

Question 2
13199

A rectangle has a perimeter of 56cm. If 4cm is taken from the length and added to the width the rectangle becomes a square. The dimensions of the original rectangle are?

\(l = 18,\,w = 10\)

Question 3
11879

\(\text{Three pieces of fish and two serves of chips cost a total of }\)\($ 8.10.\)

\(\text{Five pieces of fish and three serves of chips cost a total of }\) \($13.25.\)

\(\text{Find the cost of one piece of fish and one serve of chips.}\)

\({\rm{Fish }}\ $ 2.10,{\rm{ Chips }}\ $ 0.75\)

Question 4
15586

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?

\(\$ 200\)

Question 5
15592

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?

\(75\,{\rm{cents}}\)