4 chocolate bars and 3 packets of mints cost £4.70.
5 chocolate bars and 1 packet of mints cost £4.50.
Work out the cost of a chocolate bar and the cost of a packet of mints.

This is a word problem that can be solved by setting up and solving a pair of simultaneous linear equations. Let `c` be the cost of one chocolate bar in pounds. Let `m` be the cost of one packet of mints in pounds. From the information given, we can write two equations: Equation (1): 4c + 3m = 4.70 Equation (2): 5c + 1m = 4.50 We can solve these using the elimination method. To eliminate `m`, we can multiply Equation (2) by 3: Equation (3): 3 × (5c + m) = 3 × 4.50 => 15c + 3m = 13.50 Now we subtract Equation (1) from Equation (3): (15c + 3m) - (4c + 3m) = 13.50 - 4.70 11c = 8.80 c = 8.80 / 11 c = 0.80 So, a chocolate bar costs £0.80. Now substitute c = 0.80 into Equation (2) to find `m`: 5(0.80) + m = 4.50 4.00 + m = 4.50 m = 4.50 - 4.00 m = 0.50 So, a packet of mints costs £0.50. Final Answer: Chocolate bar = £0.80 Packet of mints = £0.50