3 bulbs and 4 batteries cost 69p 1 bulb and 2 batteries cost 31p = 69p = 31p What do the following cost? a) 6 bulbs and 8 batteries? b) 4 bulbs and 6 batteries?

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Presentation transcript:

3 bulbs and 4 batteries cost 69p 1 bulb and 2 batteries cost 31p = 69p = 31p What do the following cost? a) 6 bulbs and 8 batteries? b) 4 bulbs and 6 batteries? c) 2 bulbs and 2 batteries? d) 1 bulb and 1 battery? e) 1 battery? f) 1 bulb? Statement 1 x 2 = £1.38 Add statements 1 and 2 = £1 Answer A – Answer B = 38p Answer C divided by 2 = 19p Statement 2 – Answer D = 12p Answer D – Answer E = 7p

4 nuts and 2 bolts weigh 17 grams 3 nuts and 5 bolts weigh 32 grams What do the following weigh? a)2 nuts and 1 bolt b)7 nuts and 7 bolts? c)1 nut and 1 bolt? d)1 nut? e)1 bolt? Divide 1 st statement by 2 = 8.5g Add statement 1 and 2 = 49g Divide Answer B by 7 = 7g Answer A – Answer C = 1.5g Answer C – Answer D = 5.5g

3 bulbs and 4 batteries cost 69p 1 bulb and 2 batteries cost 31p = 69p = 31p What do the following cost? a) and ? b) 1 bulb? statements 1 ……… ………………….= p Statement …………… …………………..= p Can you find the cost of a bulb in just 2 steps? How could you now find the cost of a battery?

3 bulbs and 4 batteries cost 69p 1 bulb and 2 batteries cost 31p = 69p = 31p What do the following cost? a) and ? c) 1 battery? ………………………… ………………….= p ………………..…………… …………………..= p Can you find the cost of a battery in just 3 steps? How could you now find the cost of a bulb? ………………………… ………………….= p b) ?

3 bulbs and 4 batteries cost 69p 1 bulb and 2 batteries cost 31p = 69p = 31p How might this problem be presented using algebra? Use x = cost of a bulb and y = cost of a battery (in pence)

4 nuts and 2 bolts weigh 17 grams 3 nuts and 5 bolts weigh 32 grams How might this problem be presented using algebra? Solve the problem to find the weight of a nut and a bolt

In a wine bar I buy red and white wine I buy 2 whites and 4 reds and pay £22 Then I buy 3 whites and return a red and am charged £5 and am charged £5 How might this problem be presented using algebra? Solve the problem to find the cost of red and white wine