Mr Daniels Maths
Solving Word Equations

Set 1

Set 2

Set 3

Q1) Alex buys 3 cakes with a cup of tea at £4. This costs £10. How much does each cake cost? [ \(3x + 4 = 10 \), \(x = 2\)]

Q1) Three consecutive even numbers sum to 18. What values are these three numbers? [ 4,6 and 8]

Q1) There are three boys Adam,Bart and Charlie. Bart is 7 years older than Adam. Charlie is 10 years older than Bart. Their ages sum to 39. What are their ages? [ Adam is 5, Bart is 12 and Charlie is 22 year old.]

Q2) Jonathan buys 9 cakes with a cup of tea at £2. This costs £83. How much does each cake cost? [ \(9w + 2 = 83 \), \(w = 9\)]

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

Q2) There are three boys Adam,Bart and Charlie. Bart is 5 years older than Adam. Charlie is 3 years older than Bart. Their ages sum to 25. What are their ages? [ Adam is 4, Bart is 9 and Charlie is 12 year old.]

Q3) Hammid buys 9 cakes with a cup of tea at £7. This costs £25. How much does each cake cost? [ \(9x + 7 = 25 \), \(x = 2\)]

Q3) Three consecutive even numbers sum to 24. What values are these three numbers? [ 6,8 and 10]

Q3) There are three boys Adam,Bart and Charlie. Bart is 4 years older than Adam. Charlie is 2 years older than Bart. Their ages sum to 25. What are their ages? [ Adam is 5, Bart is 9 and Charlie is 11 year old.]

Q4) Logun buys 8 cakes with a cup of tea at £2. This costs £18. How much does each cake cost? [ \(8y + 2 = 18 \), \(y = 2\)]

Q4) Three consecutive even numbers sum to 36. What values are these three numbers? [ 10,12 and 14]

Q4) There are three boys Adam,Bart and Charlie. Bart is 8 years older than Adam. Charlie is 2 years older than Bart. Their ages sum to 39. What are their ages? [ Adam is 7, Bart is 15 and Charlie is 17 year old.]

Q5) Monique buys 5 cakes with a cup of tea at £4. This costs £14. How much does each cake cost? [ \(5x + 4 = 14 \), \(x = 2\)]

Q5) Three consecutive odd numbers sum to 39. What values are these three numbers? [ 11,13 and 15]

Q5) There are three boys Adam,Bart and Charlie. Bart is 4 years older than Adam. Charlie is 8 years older than Bart. Their ages sum to 31. What are their ages? [ Adam is 5, Bart is 9 and Charlie is 17 year old.]

Q6) Anna buys 8 cakes with a cup of tea at £5. This costs £61. How much does each cake cost? [ \(8z + 5 = 61 \), \(z = 7\)]

Q6) Three consecutive even numbers sum to 12. What values are these three numbers? [ 2,4 and 6]

Q6) 8 cakes and 4 biscuits cost the same as 5 cakes and 19 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(8c + 4 = 5c + 19\),\(c\) = 5, A cake cost £5.]

Q7) Alfie buys 6 cakes with a cup of tea at £6. This costs £18. How much does each cake cost? [ \(6z + 6 = 18 \), \(z = 2\)]

Q7) Three consecutive numbers sum to 30. What values are these three numbers? [ 9,10 and 11]

Q7) 5 cakes and 8 biscuits cost the same as 3 cakes and 16 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(5c + 8 = 3c + 16\),\(c\) = 4, A cake cost £4.]

Q8) Jenson buys 4 cakes with a cup of tea at £3. This costs £39. How much does each cake cost? [ \(4x + 3 = 39 \), \(x = 9\)]

Q8) Three consecutive odd numbers sum to 57. What values are these three numbers? [ 17,19 and 21]

Q8) 5 cakes and 13 biscuits cost the same as 3 cakes and 19 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(5c + 13 = 3c + 19\),\(c\) = 3, A cake cost £3.]

Q9) Jonathan buys 6 cakes with a cup of tea at £2. This costs £56. How much does each cake cost? [ \(6w + 2 = 56 \), \(w = 9\)]

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

Q9) There are three boys Adam,Bart and Charlie. Bart is 9 years older than Adam. Charlie is 9 years older than Bart. Their ages sum to 57. What are their ages? [ Adam is 10, Bart is 19 and Charlie is 28 year old.]

Q10) Hassan buys 3 cakes with a cup of tea at £2. This costs £20. How much does each cake cost? [ \(3z + 2 = 20 \), \(z = 6\)]

Q10) Three consecutive numbers sum to 18. What values are these three numbers? [ 5,6 and 7]

Q10) 4 cakes and 3 biscuits cost the same as 2 cakes and 17 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(4c + 3 = 2c + 17\),\(c\) = 7, A cake cost £7.]