Mr Daniels Maths
Simultaneous Word Problems

Set 1

Set 2

Set 3

Q1)
6x + 2y = 46
7x -2y = 32
[ x = 6, y = 5 ]

Q1)
Alex buys 7 cups of tea and 2 cups off coffee for £32
Alex then buys 4 cups of tea and 2 cups off coffee for £20
What is the cost of the cups of tea and the cups off coffee? [ cups of tea cost £4 and cups off coffee cost £2 each.]

Q1)
Teagan buys 2 goats and 1 horses for £13
Later they buy 6 goats and 5 horses for £57
What is the cost of the goats and the horses? [ goats cost £2 each and horses cost £9 each.]

Q2)
5x + 10y = 110
5x + 6y = 86
[ x = 10, y = 6 ]

Q2)
Alfie buys 5 cakes and 5 galaxys for £35
Alfie then buys 5 cakes and 2 galaxys for £26
What is the cost of the cakes and the galaxys? [ cakes cost £4 and galaxys cost £3 each.]

Q2)
Anna buys 6 goats and 2 horses for £70
Later they buy 4 goats and 10 horses for £90
What is the cost of the goats and the horses? [ goats cost £10 each and horses cost £5 each.]

Q3)
7x + 6y = 65
8x -6y = 10
[ x = 5, y = 5 ]

Q3)
Monique buys 6 cups of tea and 7 cups off coffee for £33
Monique then buys 6 cups of tea and 4 cups off coffee for £24
What is the cost of the cups of tea and the cups off coffee? [ cups of tea cost £2 and cups off coffee cost £3 each.]

Q3)
Anna buys 9 goats and 1 sheep for £47
Later they buy 7 goats and 4 sheep for £43
What is the cost of the goats and the sheep? [ goats cost £5 each and sheep cost £2 each.]

Q4)
10x + 10y = 120
10x + 6y = 92
[ x = 5, y = 7 ]

Q4)
Sam buys 4 mars bars and 5 cups of tea for £31
Sam then buys 4 mars bars and 3 cups of tea for £25
What is the cost of the mars bars and the cups of tea? [ mars bars cost £4 and cups of tea cost £3 each.]

Q4)
Nathan buys 10 sheep and 2 pigs for £50
Later they buy 5 sheep and 10 pigs for £70
What is the cost of the sheep and the pigs? [ sheep cost £4 each and pigs cost £5 each.]

Q5)
8x + 6y = 86
4x + 6y = 58
[ x = 7, y = 5 ]

Q5)
Sam buys 6 cakes and 5 cans of coke for £32
Sam then buys 4 cakes and 5 cans of coke for £28
What is the cost of the cakes and the cans of coke? [ cakes cost £2 and cans of coke cost £4 each.]

Q5)
Luke buys 6 horses and 1 goats for £39
Later they buy 4 horses and 2 goats for £38
What is the cost of the horses and the goats? [ horses cost £5 each and goats cost £9 each.]

Q6)
6x + 4y = 64
4x -4y = 16
[ x = 8, y = 4 ]

Q6)
Jonathan buys 4 cups off coffee and 10 cups of tea for £56
Jonathan then buys 4 cups off coffee and 6 cups of tea for £40
What is the cost of the cups off coffee and the cups of tea? [ cups off coffee cost £4 and cups of tea cost £4 each.]

Q6)
Alfie buys 4 sheep and 3 pigs for £26
Later they buy 8 sheep and 9 pigs for £70
What is the cost of the sheep and the pigs? [ sheep cost £2 each and pigs cost £6 each.]

Q7)
2x + 6y = 28
7x -6y = 17
[ x = 5, y = 3 ]

Q7)
Luke buys 7 cans of coke and 6 galaxys for £52
Luke then buys 4 cans of coke and 6 galaxys for £40
What is the cost of the cans of coke and the galaxys? [ cans of coke cost £4 and galaxys cost £4 each.]

Q7)
Logun buys 2 sheep and 1 goats for £28
Later they buy 3 sheep and 9 goats for £117
What is the cost of the sheep and the goats? [ sheep cost £9 each and goats cost £10 each.]

Q8)
7x + 3y = 63
10x -3y = 39
[ x = 6, y = 7 ]

Q8)
Hassan buys 5 mars bars and 9 cakes for £56
Hassan then buys 5 mars bars and 5 cakes for £40
What is the cost of the mars bars and the cakes? [ mars bars cost £4 and cakes cost £4 each.]

Q8)
Lumaya buys 5 pigs and 1 sheep for £17
Later they buy 8 pigs and 10 sheep for £86
What is the cost of the pigs and the sheep? [ pigs cost £2 each and sheep cost £7 each.]

Q9)
10x + y = 76
8x -y = 50
[ x = 7, y = 6 ]

Q9)
Nathan buys 10 mars bars and 5 cups off coffee for £40
Nathan then buys 6 mars bars and 5 cups off coffee for £32
What is the cost of the mars bars and the cups off coffee? [ mars bars cost £2 and cups off coffee cost £4 each.]

Q9)
Luke buys 10 horses and 3 pigs for £101
Later they buy 9 horses and 9 pigs for £135
What is the cost of the horses and the pigs? [ horses cost £8 each and pigs cost £7 each.]

Q10)
4x + 8y = 52
8x -8y = 32
[ x = 7, y = 3 ]

Q10)
Alex buys 4 cakes and 5 cups off coffee for £45
Alex then buys 4 cakes and 2 cups off coffee for £30
What is the cost of the cakes and the cups off coffee? [ cakes cost £5 and cups off coffee cost £5 each.]

Q10)
Steven buys 2 cows and 1 sheep for £18
Later they buy 6 cows and 2 sheep for £52
What is the cost of the cows and the sheep? [ cows cost £8 each and sheep cost £2 each.]