Problema Solution

A man goes into a supermarket, and pays $14.40 for two cake mixes and three cans of icing. Shortly thereafter, a woman buys three cake mixes and five cans of icing for $22.80. How much does the cake mix cost?

Answer provided by our tutors

let


x = the cost of cake mix

y = the cost of can of icing


$14.40 for two cake mixes and three cans of icing


2x + 3y = 14.40


three cake mixes and five cans of icing for $22.80


3x + 5y = 22.80


by solving the system of equations


2x + 3y = 14.40

3x + 5y = 22.80


we find


x = $3.6


y = $2.4


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the cake mix costs $3.6.