Mr Daniels Maths
Solving Word Equations

Set 1

Set 2

Set 3

Q1) Alex buys 9 cakes with a cup of tea at £10. This costs £64. How much does each cake cost? [ \(9y + 10 = 64 \), \(y = 6\)]

Q1) Three consecutive numbers sum to 18. What values are these three numbers? [ 5,6 and 7]

Q1) 10 cakes and 3 biscuits cost the same as 5 cakes and 13 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(10c + 3 = 5c + 13\),\(c\) = 2, A cake cost £2.]

Q2) Alfie buys 10 cakes with a cup of tea at £6. This costs £26. How much does each cake cost? [ \(10w + 6 = 26 \), \(w = 2\)]

Q2) Three consecutive numbers sum to 33. What values are these three numbers? [ 10,11 and 12]

Q2) There are three boys Adam,Bart and Charlie. Bart is 5 years older than Adam. Charlie is 8 years older than Bart. Their ages sum to 42. What are their ages? [ Adam is 8, Bart is 13 and Charlie is 21 year old.]

Q3) Logun buys 5 cakes with a cup of tea at £9. This costs £24. How much does each cake cost? [ \(5x + 9 = 24 \), \(x = 3\)]

Q3) Three consecutive odd numbers sum to 57. What values are these three numbers? [ 17,19 and 21]

Q3) 9 cakes and 9 biscuits cost the same as 7 cakes and 19 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(9c + 9 = 7c + 19\),\(c\) = 5, A cake cost £5.]

Q4) Jennine buys 7 cakes with a cup of tea at £10. This costs £73. How much does each cake cost? [ \(7w + 10 = 73 \), \(w = 9\)]

Q4) Three consecutive numbers sum to 6. What values are these three numbers? [ 1,2 and 3]

Q4) There are three boys Adam,Bart and Charlie. Bart is 4 years older than Adam. Charlie is 3 years older than Bart. Their ages sum to 29. What are their ages? [ Adam is 6, Bart is 10 and Charlie is 13 year old.]

Q5) Joseph buys 5 cakes with a cup of tea at £8. This costs £33. How much does each cake cost? [ \(5y + 8 = 33 \), \(y = 5\)]

Q5) Three consecutive odd numbers sum to 33. What values are these three numbers? [ 9,11 and 13]

Q5) 5 cakes and 4 biscuits cost the same as 3 cakes and 18 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(5c + 4 = 3c + 18\),\(c\) = 7, A cake cost £7.]

Q6) Logun buys 7 cakes with a cup of tea at £7. This costs £28. How much does each cake cost? [ \(7x + 7 = 28 \), \(x = 3\)]

Q6) Three consecutive numbers sum to 24. What values are these three numbers? [ 7,8 and 9]

Q6) There are three boys Adam,Bart and Charlie. Bart is 9 years older than Adam. Charlie is 10 years older than Bart. Their ages sum to 43. What are their ages? [ Adam is 5, Bart is 14 and Charlie is 24 year old.]

Q7) Kyra buys 3 cakes with a cup of tea at £6. This costs £21. How much does each cake cost? [ \(3x + 6 = 21 \), \(x = 5\)]

Q7) Three consecutive numbers sum to 27. What values are these three numbers? [ 8,9 and 10]

Q7) 5 cakes and 5 biscuits cost the same as 3 cakes and 11 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(5c + 5 = 3c + 11\),\(c\) = 3, A cake cost £3.]

Q8) Jonathan buys 3 cakes with a cup of tea at £6. This costs £36. How much does each cake cost? [ \(3z + 6 = 36 \), \(z = 10\)]

Q8) Three consecutive odd numbers sum to 51. What values are these three numbers? [ 15,17 and 19]

Q8) 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 42. What are their ages? [ Adam is 6, Bart is 15 and Charlie is 21 year old.]

Q9) Lumaya buys 2 cakes with a cup of tea at £3. This costs £15. How much does each cake cost? [ \(2x + 3 = 15 \), \(x = 6\)]

Q9) Three consecutive even numbers sum to 18. What values are these three numbers? [ 4,6 and 8]

Q9) There are three boys Adam,Bart and Charlie. Bart is 9 years older than Adam. Charlie is 4 years older than Bart. Their ages sum to 37. What are their ages? [ Adam is 5, Bart is 14 and Charlie is 18 year old.]

Q10) Logun buys 9 cakes with a cup of tea at £9. This costs £63. How much does each cake cost? [ \(9z + 9 = 63 \), \(z = 6\)]

Q10) Three consecutive even numbers sum to 36. What values are these three numbers? [ 10,12 and 14]

Q10) 4 cakes and 12 biscuits cost the same as 2 cakes and 20 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(4c + 12 = 2c + 20\),\(c\) = 4, A cake cost £4.]