Question

use the scenario to answer the question. round all calculations to the nearest hundredth.
2.0) zara and her neighbor both had a neighborhood lemonade and cookie sale last weekend. zara made $21.75 while her neighbor made $43.50.
write a system of equations for this situation. determine how much each cup of lemonade cost.
let the cost of a lemonade = x,
let the cost of a cookie = y,

number of sales	lemonade	cookies
neighbor	22	14

Explanation:

Step1: Formulate Equations

Zara's sales: \(9x + 11y = 21.75\)
Neighbor's sales: \(22x + 14y = 43.50\)

Step2: Solve the System

Use elimination or substitution. Let's use elimination. Multiply first equation by 14: \(126x + 154y = 304.5\)
Multiply second equation by 11: \(242x + 154y = 478.5\)
Subtract first from second: \(116x = 174\)
Solve for \(x\): \(x = \frac{174}{116} = 1.5\)

Answer:

Each cup of lemonade costs \(\$1.50\)