Mr Daniels Maths
Simultaneous Word Problems

Set 1

Set 2

Set 3

Q1)
6x + 9y = 54
9x -9y = 36
[ x = 6, y = 2 ]

Q1)
Harley buys 6 mars bars and 3 cans of coke for £42
Harley then buys 6 mars bars and 2 cans of coke for £38
What is the cost of the mars bars and the cans of coke? [ mars bars cost £5 and cans of coke cost £4 each.]

Q1)
Ariel buys 5 pigs and 3 cows for £44
Later they buy 4 pigs and 6 cows for £46
What is the cost of the pigs and the cows? [ pigs cost £7 each and cows cost £3 each.]

Q2)
7x + y = 25
4x -y = 8
[ x = 3, y = 4 ]

Q2)
Sharney buys 3 cakes and 5 cups of tea for £22
Sharney then buys 2 cakes and 5 cups of tea for £18
What is the cost of the cakes and the cups of tea? [ cakes cost £4 and cups of tea cost £2 each.]

Q2)
Sharney buys 9 goats and 2 sheep for £24
Later they buy 3 goats and 10 sheep for £36
What is the cost of the goats and the sheep? [ goats cost £2 each and sheep cost £3 each.]

Q3)
3x + 7y = 79
2x + 7y = 76
[ x = 3, y = 10 ]

Q3)
Jaden buys 6 cups of tea and 9 cans of coke for £69
Jaden then buys 6 cups of tea and 4 cans of coke for £44
What is the cost of the cups of tea and the cans of coke? [ cups of tea cost £4 and cans of coke cost £5 each.]

Q3)
Sam buys 7 cows and 2 goats for £47
Later they buy 2 cows and 8 goats for £58
What is the cost of the cows and the goats? [ cows cost £5 each and goats cost £6 each.]

Q4)
3x + 5y = 58
7x -5y = 2
[ x = 6, y = 8 ]

Q4)
Anna buys 4 cups off coffee and 10 mars bars for £58
Anna then buys 4 cups off coffee and 4 mars bars for £28
What is the cost of the cups off coffee and the mars bars? [ cups off coffee cost £2 and mars bars cost £5 each.]

Q4)
Sharney buys 4 sheep and 1 goats for £17
Later they buy 5 sheep and 9 goats for £91
What is the cost of the sheep and the goats? [ sheep cost £2 each and goats cost £9 each.]

Q5)
3x + 10y = 68
3x + 9y = 63
[ x = 6, y = 5 ]

Q5)
Luke buys 6 cups off coffee and 5 cups of tea for £32
Luke then buys 3 cups off coffee and 5 cups of tea for £26
What is the cost of the cups off coffee and the cups of tea? [ cups off coffee cost £2 and cups of tea cost £4 each.]

Q5)
Alfie buys 7 cows and 2 goats for £71
Later they buy 3 cows and 10 goats for £67
What is the cost of the cows and the goats? [ cows cost £9 each and goats cost £4 each.]

Q6)
4x + 2y = 54
3x -2y = 9
[ x = 9, y = 9 ]

Q6)
Prabjot buys 10 cups off coffee and 5 cups of tea for £45
Prabjot then buys 2 cups off coffee and 5 cups of tea for £21
What is the cost of the cups off coffee and the cups of tea? [ cups off coffee cost £3 and cups of tea cost £3 each.]

Q6)
Kyra buys 8 sheep and 3 pigs for £86
Later they buy 7 sheep and 9 pigs for £139
What is the cost of the sheep and the pigs? [ sheep cost £7 each and pigs cost £10 each.]

Q7)
10x + 6y = 102
8x + 6y = 84
[ x = 9, y = 2 ]

Q7)
Alex buys 4 cups off coffee and 10 cans of coke for £58
Alex then buys 4 cups off coffee and 4 cans of coke for £28
What is the cost of the cups off coffee and the cans of coke? [ cups off coffee cost £2 and cans of coke cost £5 each.]

Q7)
Lumaya buys 2 sheep and 3 cows for £35
Later they buy 8 sheep and 6 cows for £110
What is the cost of the sheep and the cows? [ sheep cost £10 each and cows cost £5 each.]

Q8)
2x + 8y = 42
2x + 3y = 22
[ x = 5, y = 4 ]

Q8)
McKenzie buys 2 galaxys and 4 cups of tea for £18
McKenzie then buys 2 galaxys and 3 cups of tea for £16
What is the cost of the galaxys and the cups of tea? [ galaxys cost £5 and cups of tea cost £2 each.]

Q8)
Hassan buys 8 horses and 1 cows for £56
Later they buy 9 horses and 9 cows for £126
What is the cost of the horses and the cows? [ horses cost £6 each and cows cost £8 each.]

Q9)
9x + 3y = 51
10x -3y = 44
[ x = 5, y = 2 ]

Q9)
Jonathan buys 4 mars bars and 3 cans of coke for £20
Jonathan then buys 4 mars bars and 2 cans of coke for £16
What is the cost of the mars bars and the cans of coke? [ mars bars cost £2 and cans of coke cost £4 each.]

Q9)
Nathan buys 6 horses and 4 sheep for £76
Later they buy 9 horses and 8 sheep for £128
What is the cost of the horses and the sheep? [ horses cost £8 each and sheep cost £7 each.]

Q10)
10x + 2y = 94
3x -2y = 10
[ x = 8, y = 7 ]

Q10)
Steven buys 4 cups of tea and 5 cans of coke for £27
Steven then buys 4 cups of tea and 2 cans of coke for £18
What is the cost of the cups of tea and the cans of coke? [ cups of tea cost £3 and cans of coke cost £3 each.]

Q10)
Steven buys 9 sheep and 1 goats for £79
Later they buy 6 sheep and 6 goats for £90
What is the cost of the sheep and the goats? [ sheep cost £8 each and goats cost £7 each.]