Bookwork code: 1 F The cost of 1 cup of tea and 5 cakes is £11 . The cost of 1 cup of tea and 3 cakes is £7 . a) How much do 2 cakes cost? b) How much does 1 cake cost? ?∈∈∈quad cost £7

Question

Bookwork code: 1 F The cost of 1 cup of tea and 5 cakes is £11 . The cost of 1 cup of tea and 3 cakes is £7 . a) How much do 2 cakes cost? b) How much does 1 cake cost? ?∈∈∈quad cost £7

Answer 1

a) £4 b) £2

Answer 2

We are given two conditions in the problem which can be written in equation form as T (For Tea) +5C (5 times cost of Cakes) = £11, and T +3C = £7. Subtracting these two equations, in order to eliminate T, would give us the equation 2C = £4. Therefore, 2 cakes cost £4. If 2 cakes cost £4, we divide £4 by 2 to get the cost for 1 cake, which is £2.

Question

Bookwork code: 1 F The cost of 1 cup of tea and 5 cakes is £11 . The cost of 1 cup of tea and 3 cakes is £7 . a) How much do 2 cakes cost? b) How much does 1 cake cost? ?∈∈∈quad cost £7

Answer

Answer

Explanation