Mr Daniels Maths
Solving Word Equations

Set 1

Set 2

Set 3

Q1) Ariel buys 2 cakes with a cup of tea at £10. This costs £14. How much does each cake cost? [ \(2z + 10 = 14 \), \(z = 2\)]

Q1) Three consecutive numbers sum to 21. What values are these three numbers? [ 6,7 and 8]

Q1) There are three boys Adam,Bart and Charlie. Bart is 10 years older than Adam. Charlie is 6 years older than Bart. Their ages sum to 38. What are their ages? [ Adam is 4, Bart is 14 and Charlie is 20 year old.]

Q2) Kyra buys 8 cakes with a cup of tea at £4. This costs £60. How much does each cake cost? [ \(8z + 4 = 60 \), \(z = 7\)]

Q2) Three consecutive odd numbers sum to 51. What values are these three numbers? [ 15,17 and 19]

Q2) 6 cakes and 3 biscuits cost the same as 3 cakes and 9 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(6c + 3 = 3c + 9\),\(c\) = 2, A cake cost £2.]

Q3) Alex buys 3 cakes with a cup of tea at £7. This costs £19. How much does each cake cost? [ \(3y + 7 = 19 \), \(y = 4\)]

Q3) Three consecutive odd numbers sum to 45. What values are these three numbers? [ 13,15 and 17]

Q3) 4 cakes and 7 biscuits cost the same as 2 cakes and 17 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(4c + 7 = 2c + 17\),\(c\) = 5, A cake cost £5.]

Q4) Kyra buys 4 cakes with a cup of tea at £6. This costs £46. How much does each cake cost? [ \(4x + 6 = 46 \), \(x = 10\)]

Q4) Three consecutive numbers sum to 33. What values are these three numbers? [ 10,11 and 12]

Q4) 10 cakes and 4 biscuits cost the same as 7 cakes and 16 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(10c + 4 = 7c + 16\),\(c\) = 4, A cake cost £4.]

Q5) Alfie buys 6 cakes with a cup of tea at £10. This costs £34. How much does each cake cost? [ \(6x + 10 = 34 \), \(x = 4\)]

Q5) Three consecutive odd numbers sum to 57. What values are these three numbers? [ 17,19 and 21]

Q5) 5 cakes and 5 biscuits cost the same as 3 cakes and 17 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(5c + 5 = 3c + 17\),\(c\) = 6, A cake cost £6.]

Q6) Joseph buys 2 cakes with a cup of tea at £2. This costs £12. How much does each cake cost? [ \(2x + 2 = 12 \), \(x = 5\)]

Q6) Three consecutive numbers sum to 18. What values are these three numbers? [ 5,6 and 7]

Q6) There are three boys Adam,Bart and Charlie. Bart is 4 years older than Adam. Charlie is 4 years older than Bart. Their ages sum to 30. What are their ages? [ Adam is 6, Bart is 10 and Charlie is 14 year old.]

Q7) Anna buys 9 cakes with a cup of tea at £2. This costs £92. How much does each cake cost? [ \(9w + 2 = 92 \), \(w = 10\)]

Q7) Three consecutive odd numbers sum to 39. What values are these three numbers? [ 11,13 and 15]

Q7) There are three boys Adam,Bart and Charlie. Bart is 9 years older than Adam. Charlie is 6 years older than Bart. Their ages sum to 48. What are their ages? [ Adam is 8, Bart is 17 and Charlie is 23 year old.]

Q8) Luke buys 3 cakes with a cup of tea at £6. This costs £33. How much does each cake cost? [ \(3y + 6 = 33 \), \(y = 9\)]

Q8) Three consecutive even numbers sum to 30. What values are these three numbers? [ 8,10 and 12]

Q8) 6 cakes and 4 biscuits cost the same as 4 cakes and 16 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(6c + 4 = 4c + 16\),\(c\) = 6, A cake cost £6.]

Q9) Ariel buys 6 cakes with a cup of tea at £4. This costs £52. How much does each cake cost? [ \(6y + 4 = 52 \), \(y = 8\)]

Q9) Three consecutive numbers sum to 27. What values are these three numbers? [ 8,9 and 10]

Q9) 4 cakes and 8 biscuits cost the same as 2 cakes and 16 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(4c + 8 = 2c + 16\),\(c\) = 4, A cake cost £4.]

Q10) Sabrina buys 3 cakes with a cup of tea at £3. This costs £21. How much does each cake cost? [ \(3y + 3 = 21 \), \(y = 6\)]

Q10) Three consecutive even numbers sum to 12. What values are these three numbers? [ 2,4 and 6]

Q10) 5 cakes and 4 biscuits cost the same as 2 cakes and 19 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(5c + 4 = 2c + 19\),\(c\) = 5, A cake cost £5.]