Question

Andrew paid£12 for 4cups of coffee and 4cups of tea 3cups of coffee cost as much as 2cups of tea what was the total cost of 5cups of tea and 5 cups of coffee?
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Answer 1

Answer:

£15

Step-by-step explanation:

We can set up a system of equations to solve this. Calling the price of a cup of coffee C, and the price of a cup of tea T, we get

(1) 4C+4T=12

(2) 3C=2T

If we divide both sides of (1) by 4 we get

(3) C+T=3

We want to find 5C+5T, so to do that we can multiply both sides of (3) by 5 to get

(4) 5C+5T=15

Therefore the answer is £15

We can check this by working out the individual prices of a cup of tea or coffee and substituting them back into (4):

We can substitute 2 x (2) into (1) to get

(5) 4C+6C=12

i.e. 10C=12, so C = £1.20

Then from 2, 3 x 1.20=2T, so T=£1.80

Substituting into (4), we find that 5 x 1.20 + 5 x 1.80= 6 + 9 = £15

Hope it helps

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