Problema Solution
one pack of biscuit cost x and one cup of ice cream cost y.i pack of biscuit and 2 cups of ice cream cost$8.00,while 3 packs of biscuit and one cup of ice cream cost$9.00
1. write a pair of simultaneous equations in x and y to represent the information.
2.solve the equations in (1.)above to find the cost of 1 pack of biscuit and one cup of ice cream.
Answer provided by our tutors
Say Biscuits=x and ice cream=y
Therefore: 1 pack biscuit and 2 cups ice cream => x+2y=8
3 pack biscuit and 1 cup ice cream => 3x+y=9
x+2y=8 (i)
3x+y=9 (ii)------------------ answer part 1.
To solve:
From eq i, x=8-2y
Substituting into (ii),
3(8-2y)+y=9
24-6y+y=9
24-5y=9
-5y=-15
y=3
To find x:
Place y=3 into (i)
x+2y=8
x+2(3)=8
x+6=8
x=8-6
x=2
Answers: x=2 and y=3