Problema Solution
if 2 coffees and 3 cakes = 6.10 and 3 coffees and 2 cakes = 6.40 what is the price of 1 coffee and what is the price of 1 cake
Answer provided by our tutors
If x = coffee & y = cake
Then, 2x + 3y = 6.10 (eq 1)
And 3x + 2y = 6.40 (eq 2)
Add the two equations we get,
5x + 5y = 12.50
5 (x+y) = 12.50
x+y = 12.50/5
x+y = 2.5
x = 2.5 - y
Putting x =2.5 - y in eq 1 we have,
2(2.5 - y) + 3 y = 6.10
5 - 2y + 3y = 6.10
5 + y = 6.10
y = 6.10 - 5 = 1.10
Therefore,y = 1.10
and x = 2.5 - y = 2.5 - 1.10 = 1.40
Answer, x = 1.40 & y = 1.10
Coffee costs 1.40, cake costs 1.10