Question

Brian bought beverages for his coworkers. One day he bought 3 lemonades and 4 iced teas for $12.00. The next day he bought 5 lemonades and 2 iced teas for $11.50. Find the cost of 1 lemonade and 1 iced tea, to the nearest cent.

Answer 1

Let's take lemonade's price as 'x' and iced tea's price as 'y'.


`\left \{ {{3x+4y=12} \atop {5x+2y=11.5}} \right. \\ \left \{ {{x=4-y} \atop {5(4-y)+2y=11.5}} \right. \\ \left \{ {{x=4-y} \atop {20-3y=11.5}} \right. \\ \left \{ {{x=4-y} \atop {y=2.83}} \right. \\ \left \{ {{x=1.17} \atop {y=2.83}} \right.`

Price of lemonade is $2.83, iced tea's $1.17.