Question

my friend gespil bought some umunts for $2 each and some dimmles for $1 each. the total cost was $14.
write an equation in standard form showing the relationship between dimmles (x) and umunts (y).
if gespil bought 12 dimmles, how many umunts did she buy?
label optional
fill in the table for this situation:

x	y
0

Explanation:

Step1: Define cost for each item

Cost of $x$ dimmles: $1 \cdot x = x$
Cost of $y$ umunts: $2 \cdot y = 2y$

Step2: Set up total cost equation

$x + 2y = 14$

Step3: Solve for $y$ when $x=12$

Substitute $x=12$: $12 + 2y = 14$
Subtract 12: $2y = 14 - 12 = 2$
Divide by 2: $y = \frac{2}{2} = 1$

Step4: Fill table for $x=0$

Substitute $x=0$: $0 + 2y = 14$
Solve for $y$: $y = \frac{14}{2} = 7$

Step5: Add a valid $(x,y)$ pair

Choose $y=0$: $x + 2(0) = 14$ → $x=14$

Answer:

1. Standard form equation: $x + 2y = 14$
2. Number of umunts when 12 dimmles are bought: 1
3. Completed table:

$x$	$y$
14	0