Mr Daniels Maths
Solving Word Equations

Set 1

Set 2

Set 3

Q1) Sabrina buys 7 cakes with a cup of tea at £4. This costs £18. How much does each cake cost? [ \(7x + 4 = 18 \), \(x = 2\)]

Q1) Three consecutive even numbers sum to 36. What values are these three numbers? [ 10,12 and 14]

Q1) 7 cakes and 11 biscuits cost the same as 5 cakes and 19 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(7c + 11 = 5c + 19\),\(c\) = 4, A cake cost £4.]

Q2) Joseph buys 8 cakes with a cup of tea at £9. This costs £57. How much does each cake cost? [ \(8z + 9 = 57 \), \(z = 6\)]

Q2) Three consecutive odd numbers sum to 39. What values are these three numbers? [ 11,13 and 15]

Q2) There are three boys Adam,Bart and Charlie. Bart is 8 years older than Adam. Charlie is 5 years older than Bart. Their ages sum to 51. What are their ages? [ Adam is 10, Bart is 18 and Charlie is 23 year old.]

Q3) Harley buys 3 cakes with a cup of tea at £8. This costs £14. How much does each cake cost? [ \(3w + 8 = 14 \), \(w = 2\)]

Q3) Three consecutive odd numbers sum to 33. What values are these three numbers? [ 9,11 and 13]

Q3) 7 cakes and 8 biscuits cost the same as 4 cakes and 20 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(7c + 8 = 4c + 20\),\(c\) = 4, A cake cost £4.]

Q4) Julie buys 5 cakes with a cup of tea at £6. This costs £46. How much does each cake cost? [ \(5z + 6 = 46 \), \(z = 8\)]

Q4) Three consecutive even numbers sum to 30. What values are these three numbers? [ 8,10 and 12]

Q4) There are three boys Adam,Bart and Charlie. Bart is 2 years older than Adam. Charlie is 9 years older than Bart. Their ages sum to 28. What are their ages? [ Adam is 5, Bart is 7 and Charlie is 16 year old.]

Q5) Jenson buys 9 cakes with a cup of tea at £9. This costs £63. How much does each cake cost? [ \(9w + 9 = 63 \), \(w = 6\)]

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

Q5) 10 cakes and 9 biscuits cost the same as 8 cakes and 15 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(10c + 9 = 8c + 15\),\(c\) = 3, A cake cost £3.]

Q6) Nathan buys 8 cakes with a cup of tea at £6. This costs £22. How much does each cake cost? [ \(8y + 6 = 22 \), \(y = 2\)]

Q6) Three consecutive numbers sum to 21. What values are these three numbers? [ 6,7 and 8]

Q6) 5 cakes and 6 biscuits cost the same as 2 cakes and 12 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(5c + 6 = 2c + 12\),\(c\) = 2, A cake cost £2.]

Q7) Kyra buys 2 cakes with a cup of tea at £2. This costs £20. How much does each cake cost? [ \(2w + 2 = 20 \), \(w = 9\)]

Q7) Three consecutive numbers sum to 15. What values are these three numbers? [ 4,5 and 6]

Q7) There are three boys Adam,Bart and Charlie. Bart is 8 years older than Adam. Charlie is 8 years older than Bart. Their ages sum to 48. What are their ages? [ Adam is 8, Bart is 16 and Charlie is 24 year old.]

Q8) Lumaya buys 2 cakes with a cup of tea at £9. This costs £15. How much does each cake cost? [ \(2z + 9 = 15 \), \(z = 3\)]

Q8) Three consecutive numbers sum to 6. What values are these three numbers? [ 1,2 and 3]

Q8) 8 cakes and 5 biscuits cost the same as 4 cakes and 17 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(8c + 5 = 4c + 17\),\(c\) = 3, A cake cost £3.]

Q9) Luke buys 10 cakes with a cup of tea at £7. This costs £57. How much does each cake cost? [ \(10z + 7 = 57 \), \(z = 5\)]

Q9) Three consecutive numbers sum to 18. What values are these three numbers? [ 5,6 and 7]

Q9) There are three boys Adam,Bart and Charlie. Bart is 3 years older than Adam. Charlie is 4 years older than Bart. Their ages sum to 40. What are their ages? [ Adam is 10, Bart is 13 and Charlie is 17 year old.]

Q10) Eva buys 5 cakes with a cup of tea at £8. This costs £53. How much does each cake cost? [ \(5w + 8 = 53 \), \(w = 9\)]

Q10) Three consecutive odd numbers sum to 45. What values are these three numbers? [ 13,15 and 17]

Q10) 4 cakes and 9 biscuits cost the same as 2 cakes and 17 biscuits. If each biscuit costs £1 each. How much does a cake cost? [ \(4c + 9 = 2c + 17\),\(c\) = 4, A cake cost £4.]