Mr Daniels Maths
Simultaneous Word Problems

Set 1

Set 2

Set 3

Q1)
8x + 5y = 91
8x + 2y = 70
[ x = 7, y = 7 ]

Q1)
Sabrina buys 5 cans of coke and 6 cups of tea for £37
Sabrina then buys 5 cans of coke and 3 cups of tea for £31
What is the cost of the cans of coke and the cups of tea? [ cans of coke cost £5 and cups of tea cost £2 each.]

Q1)
Hammid buys 10 goats and 1 horses for £45
Later they buy 8 goats and 7 horses for £67
What is the cost of the goats and the horses? [ goats cost £4 each and horses cost £5 each.]

Q2)
5x + 2y = 19
2x + 2y = 10
[ x = 3, y = 2 ]

Q2)
Hammid buys 5 cups of tea and 6 cakes for £22
Hammid then buys 3 cups of tea and 6 cakes for £18
What is the cost of the cups of tea and the cakes? [ cups of tea cost £2 and cakes cost £2 each.]

Q2)
Nathan buys 10 sheep and 1 horses for £57
Later they buy 6 sheep and 6 horses for £72
What is the cost of the sheep and the horses? [ sheep cost £5 each and horses cost £7 each.]

Q3)
10x + 4y = 88
9x -4y = 64
[ x = 8, y = 2 ]

Q3)
Kyra buys 4 mars bars and 6 galaxys for £34
Kyra then buys 2 mars bars and 6 galaxys for £26
What is the cost of the mars bars and the galaxys? [ mars bars cost £4 and galaxys cost £3 each.]

Q3)
Julie buys 9 horses and 1 sheep for £35
Later they buy 10 horses and 3 sheep for £54
What is the cost of the horses and the sheep? [ horses cost £3 each and sheep cost £8 each.]

Q4)
6x + 9y = 96
6x + 4y = 76
[ x = 10, y = 4 ]

Q4)
Alfie buys 10 cakes and 2 galaxys for £60
Alfie then buys 3 cakes and 2 galaxys for £25
What is the cost of the cakes and the galaxys? [ cakes cost £5 and galaxys cost £5 each.]

Q4)
Eva buys 10 horses and 1 pigs for £70
Later they buy 2 horses and 2 pigs for £32
What is the cost of the horses and the pigs? [ horses cost £6 each and pigs cost £10 each.]

Q5)
10x + 10y = 180
5x + 10y = 135
[ x = 9, y = 9 ]

Q5)
Sam buys 10 galaxys and 2 cups of tea for £38
Sam then buys 3 galaxys and 2 cups of tea for £17
What is the cost of the galaxys and the cups of tea? [ galaxys cost £3 and cups of tea cost £4 each.]

Q5)
Julie buys 4 cows and 1 goats for £42
Later they buy 9 cows and 2 goats for £92
What is the cost of the cows and the goats? [ cows cost £8 each and goats cost £10 each.]

Q6)
3x + 4y = 49
3x + 2y = 29
[ x = 3, y = 10 ]

Q6)
McKenzie buys 9 galaxys and 3 mars bars for £24
McKenzie then buys 5 galaxys and 3 mars bars for £16
What is the cost of the galaxys and the mars bars? [ galaxys cost £2 and mars bars cost £2 each.]

Q6)
Eva buys 7 cows and 1 pigs for £33
Later they buy 9 cows and 10 pigs for £86
What is the cost of the cows and the pigs? [ cows cost £4 each and pigs cost £5 each.]

Q7)
10x + 2y = 86
2x + 2y = 30
[ x = 7, y = 8 ]

Q7)
Eva buys 6 cups off coffee and 10 cakes for £44
Eva then buys 6 cups off coffee and 5 cakes for £34
What is the cost of the cups off coffee and the cakes? [ cups off coffee cost £4 and cakes cost £2 each.]

Q7)
Luke buys 5 pigs and 2 cows for £35
Later they buy 8 pigs and 4 cows for £60
What is the cost of the pigs and the cows? [ pigs cost £5 each and cows cost £5 each.]

Q8)
9x + 2y = 70
5x -2y = 14
[ x = 6, y = 8 ]

Q8)
Lumaya buys 4 cups of tea and 6 cups off coffee for £26
Lumaya then buys 3 cups of tea and 6 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.]

Q8)
Jonathan buys 10 goats and 4 cows for £66
Later they buy 4 goats and 8 cows for £52
What is the cost of the goats and the cows? [ goats cost £5 each and cows cost £4 each.]

Q9)
8x + 9y = 59
6x + 9y = 51
[ x = 4, y = 3 ]

Q9)
Lumaya buys 5 mars bars and 6 cups of tea for £45
Lumaya then buys 5 mars bars and 3 cups of tea for £30
What is the cost of the mars bars and the cups of tea? [ mars bars cost £3 and cups of tea cost £5 each.]

Q9)
Hassan buys 7 cows and 1 pigs for £44
Later they buy 10 cows and 3 pigs for £77
What is the cost of the cows and the pigs? [ cows cost £5 each and pigs cost £9 each.]

Q10)
3x + 10y = 124
3x + 3y = 54
[ x = 8, y = 10 ]

Q10)
Sam buys 6 cakes and 3 cups off coffee for £24
Sam then buys 5 cakes and 3 cups off coffee for £21
What is the cost of the cakes and the cups off coffee? [ cakes cost £3 and cups off coffee cost £2 each.]

Q10)
Logun buys 10 sheep and 1 horses for £46
Later they buy 5 sheep and 2 horses for £32
What is the cost of the sheep and the horses? [ sheep cost £4 each and horses cost £6 each.]