Elliot buys 4 sodas and 4 coffees for £2.Alex buys 4 sodas and 1 coffee for £1.25.Work out the cost of one soda and one coffee.
Question
Elliot buys 4 sodas and 4 coffees for £2.
Alex buys 4 sodas and 1 coffee for £1.25.
Work out the cost of one soda and one coffee.
Solution
Let's denote the cost of one soda as S and the cost of one coffee as C.
From the problem, we have two equations:
- 4S + 4C = £2
- 4S + C = £1.25
We can simplify the first equation to S + C = £0.50.
Now, we can subtract the second equation from the simplified first equation to find the cost of one coffee:
(S + C) - 4S = £0.50 - £1.25 -C3S = -£0.75 C = £0.75 / 3 C = £0.25
Substitute C = £0.25 into the second equation:
4S + £0.25 = £1.25 4S = £1.25 - £0.25 4S = £1 S = £1 / 4 S = £0.25
So, one soda costs £0.25 and one coffee costs £0.25.
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