# 2 ice lollies and 2 choc ices = £2.90 2 cornets, 1 choc ice and 1 ice lolly..............How much does a choc ice cost?

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2 ice lollies and 2 choc ices = £2.90

2 cornets, 1 choc ice and 1 ice lolly = £3.45

1 ice lolly and 1 cornet = £1.60

How much does a choc ice cost?

posted Aug 14

ice lollies = y
choco ices = x
cornet = z

2y + 2x = 2.9
y+x = 1.45  --> 1

2z + y+ x = 3.45
from  y+ x = 1.45 (subtituting)
2z = 2
z = 1

from last equation
y+z = 1.6
y = 0.6

putting the value of y in eq 1
x+0.6 = 1.45
x = 0.85

ice lollies = y
choc ices = x
cornet = z

2*(x+y) = 2.9
x+y = 1.45

2z+x+y = 3.45
2z = 2(subtituting x+y as 1.45)
z = 1

y+z = 1.6
y = 0.6 (z = 1)

x+y = 1.45
x = 1.45-0.6
x = 0.85

Ican write a system of three equations
2x + 2y = 2.90
2z + x +y = 3.45
x + z = 1,60
Being x= ice lollies, y = choc ices, z= cornets
Solving the system yields y = 0.85
The cost is 0.85 pounds

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