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at an Italian bistro, the cost of 2 plates of butter and 1 drink is $27.50. the cost for 4 plates of butter and 3 drinks is $59.50. find the cost of a plate of butter and a drink

Respuesta :

Butter = x
Drink = y

Equation 1. 4x+3y = 59.50
Equation 2. 2x+y=27.50

of the first equation: 3y = 59.50 - 4x
y = 59.5/3 - 4/3x

second equation:
2x+y=27.50
2x+(59.5/3 - 4/3x)=27.50
2x + 59.5/3 - 4/3x=27.50
2x - 4/3x = 27.50 - (59.5/3)
2/3x = 7 and 2/3
7 and 2/3 divided by 2/3 = x
x = 11.5 ish