Mr Daniels Maths
Simultaneous Word Problems

Set 1

Set 2

Set 3

Q1)
5x + 8y = 88
5x + 7y = 82
[ x = 8, y = 6 ]

Q1)
Jenson buys 10 cakes and 2 mars bars for £38
Jenson then buys 3 cakes and 2 mars bars for £17
What is the cost of the cakes and the mars bars? [ cakes cost £3 and mars bars cost £4 each.]

Q1)
Luke buys 5 cows and 1 goats for £53
Later they buy 8 cows and 3 goats for £89
What is the cost of the cows and the goats? [ cows cost £10 each and goats cost £3 each.]

Q2)
9x + 7y = 88
6x + 7y = 82
[ x = 2, y = 10 ]

Q2)
Julie buys 5 cups of tea and 5 galaxys for £20
Julie then buys 4 cups of tea and 5 galaxys for £18
What is the cost of the cups of tea and the galaxys? [ cups of tea cost £2 and galaxys cost £2 each.]

Q2)
Teagan buys 5 sheep and 1 goats for £45
Later they buy 8 sheep and 9 goats for £146
What is the cost of the sheep and the goats? [ sheep cost £7 each and goats cost £10 each.]

Q3)
9x + y = 81
8x -y = 55
[ x = 8, y = 9 ]

Q3)
Monique buys 6 cups of tea and 3 cakes for £27
Monique then buys 4 cups of tea and 3 cakes for £23
What is the cost of the cups of tea and the cakes? [ cups of tea cost £2 and cakes cost £5 each.]

Q3)
Kyra buys 7 goats and 1 cows for £52
Later they buy 2 goats and 5 cows for £29
What is the cost of the goats and the cows? [ goats cost £7 each and cows cost £3 each.]

Q4)
8x + 4y = 116
6x -4y = 24
[ x = 10, y = 9 ]

Q4)
Joseph buys 9 mars bars and 6 cups of tea for £48
Joseph then buys 6 mars bars and 6 cups of tea for £36
What is the cost of the mars bars and the cups of tea? [ mars bars cost £4 and cups of tea cost £2 each.]

Q4)
Alex buys 10 horses and 1 cows for £67
Later they buy 4 horses and 6 cows for £66
What is the cost of the horses and the cows? [ horses cost £6 each and cows cost £7 each.]

Q5)
10x + 3y = 92
2x + 3y = 28
[ x = 8, y = 4 ]

Q5)
Alfie buys 7 cups off coffee and 3 mars bars for £30
Alfie then buys 4 cups off coffee and 3 mars bars for £21
What is the cost of the cups off coffee and the mars bars? [ cups off coffee cost £3 and mars bars cost £3 each.]

Q5)
Jenson buys 10 pigs and 1 horses for £24
Later they buy 2 pigs and 9 horses for £40
What is the cost of the pigs and the horses? [ pigs cost £2 each and horses cost £4 each.]

Q6)
5x + 8y = 85
7x -8y = 23
[ x = 9, y = 5 ]

Q6)
Jennine buys 9 galaxys and 2 mars bars for £24
Jennine then buys 6 galaxys and 2 mars bars for £18
What is the cost of the galaxys and the mars bars? [ galaxys cost £2 and mars bars cost £3 each.]

Q6)
Julie buys 5 pigs and 1 cows for £33
Later they buy 6 pigs and 2 cows for £42
What is the cost of the pigs and the cows? [ pigs cost £6 each and cows cost £3 each.]

Q7)
6x + 9y = 63
6x + 4y = 38
[ x = 3, y = 5 ]

Q7)
Alex buys 5 cakes and 2 cans of coke for £24
Alex then buys 2 cakes and 2 cans of coke for £12
What is the cost of the cakes and the cans of coke? [ cakes cost £4 and cans of coke cost £2 each.]

Q7)
Teagan buys 4 goats and 2 horses for £32
Later they buy 5 goats and 10 horses for £85
What is the cost of the goats and the horses? [ goats cost £5 each and horses cost £6 each.]

Q8)
5x + 4y = 80
8x -4y = 24
[ x = 8, y = 10 ]

Q8)
Jaden buys 4 mars bars and 5 cakes for £23
Jaden then buys 3 mars bars and 5 cakes for £21
What is the cost of the mars bars and the cakes? [ mars bars cost £2 and cakes cost £3 each.]

Q8)
Hassan buys 2 goats and 2 sheep for £26
Later they buy 3 goats and 8 sheep for £84
What is the cost of the goats and the sheep? [ goats cost £4 each and sheep cost £9 each.]

Q9)
3x + 10y = 65
3x + 6y = 45
[ x = 5, y = 5 ]

Q9)
Nathan buys 3 cans of coke and 5 mars bars for £22
Nathan then buys 3 cans of coke and 3 mars bars for £18
What is the cost of the cans of coke and the mars bars? [ cans of coke cost £4 and mars bars cost £2 each.]

Q9)
Joseph buys 6 horses and 1 goats for £38
Later they buy 9 horses and 4 goats for £62
What is the cost of the horses and the goats? [ horses cost £6 each and goats cost £2 each.]

Q10)
7x + 4y = 36
10x -4y = 32
[ x = 4, y = 2 ]

Q10)
Alex buys 9 galaxys and 2 cans of coke for £22
Alex then buys 6 galaxys and 2 cans of coke for £16
What is the cost of the galaxys and the cans of coke? [ galaxys cost £2 and cans of coke cost £2 each.]

Q10)
Logun buys 5 sheep and 1 horses for £18
Later they buy 9 sheep and 6 horses for £45
What is the cost of the sheep and the horses? [ sheep cost £3 each and horses cost £3 each.]