Question

2 numeric 2 points lupe and her friends spent $20 on snack mix and water. they bought x bags of snack mix and y bottles of water. they bought a total of 11 items. the system of equations can be used to determine how many of each item they bought. \

$$\begin{cases} 20.00 = 2.50x + 1.00y \\\\ 11 = x + y \\end{cases}$$

how many bags of snack mix did they buy? answer

Explanation:

Step1: Isolate y from second equation

$y = 11 - x$

Step2: Substitute y into first equation

$20.00 = 2.50x + 1.00(11 - x)$

Step3: Simplify and solve for x

$20 = 2.5x + 11 - x$
$20 - 11 = 1.5x$
$9 = 1.5x$
$x = \frac{9}{1.5}$

Answer:

6