R9 Problems involving simultaneous equations
Solve the following problems using simultaneous equations
In each case represent each unknown with a letter. Form two separate equations and then follow the usual steps to solve them simultaneously.
- In an election Mrs White was elected with a majority of 346 over Mr Brown. The total number of votes cast was 1418. How many votes did each candidate receive?
- On a package holiday, two adults and one child can go for £1190. Similarly, the fare for one adult and three children is £1320. How much does it cost for an adult and a child?
- The staff room coffee machine takes 20p or 50p coins. When emptied, it was found to contain 36 coins totalling £10.50 in value. How many of each sort of coin did the machine contain?
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