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# math [work out the cost of 1 kg bananas]

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5 kg of apples cost £7
2kg of apples and 3kg of bananas cost £5.65
work out the cost of 1 kg bananas
Guest Mar 4, 2012
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wahaby:

5 kg of apples cost £7
2kg of apples and 3kg of bananas cost £5.65
work out the cost of 1 kg bananas

a: cost of 1kg of apples
b: cost of 1kg of bananas

searched: b = work out the cost of 1 kg bananas

equation1: 5*a = 7
equation2: 2*a + 3*b = 5.65

[input]solve( 5*a = 7, 2*a + 3*b = 5.65 )[/input]
{a=1.4, b=0.95}

wahaby:

work out the cost of 1 kg bananas

b= £0.95

test: 5*a = 5*1.4 = 7
test: 2*a+3*b = 2*1.4+3*0.95 = 5.65

solve manually:
5*a = 7
a = 7/5

2*a + 3*b = 5.65
2*(7/5) + 3*b = 5.65
14/5 + 3*b = 5.65
14/5 + 3*b -14/5 = 5.65 - 14/5
3b = 2.85
b = 2.85 / 3 = 0.95

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