Question

i can solve real-world problems with s
for each of the following questions, write a system

1. selena’s snow cone stand sells small snow

cones for $2 and large snow cones for $3.50.
one summer day, she sold $163 worth of snow
cones. if the number of large snow cones sold
was 12 more than the number of smalls, how
many of each size did she sell?
system of equations:
solution:

Explanation:

Step1: Define variables

Let $x$ = number of small snow cones, $y$ = number of large snow cones.

Step2: Set up value equation

Total sales: $2x + 3.5y = 163$

Step3: Set up quantity relation

Large cones = small +12: $y = x + 12$

Step4: Substitute $y$ into value equation

$2x + 3.5(x + 12) = 163$
Expand: $2x + 3.5x + 42 = 163$
Combine terms: $5.5x + 42 = 163$

Step5: Solve for $x$

Subtract 42: $5.5x = 163 - 42 = 121$
Solve: $x = \frac{121}{5.5} = 22$

Step6: Solve for $y$

Substitute $x=22$: $y = 22 + 12 = 34$

Answer:

System of equations:
$2x + 3.5y = 163$
$y = x + 12$

Solution:
22 small snow cones and 34 large snow cones