Question

fiona and iliana went to a going - out - of - business sale at a local video store. the store was advertizing all hd videos on sale for one price and all classic videos for a different price. fiona bought 5 hd videos and 2 classic videos for $31. iliana bought 5 classic videos and 3 hd videos for $30. which system of equations can be used to find the prices of the classic and hd videos?
○ $5x + 2y = 31$
$5x + 3y = 30$
○ $5x + 2y = 30$
$3x + 5y = 31$
○ $5x + 2y = 30$
$5x + 3y = 31$
○ $5x + 2y = 31$
$3x + 5y = 30$

Explanation:

Step1: Define variables

Let $x$ = price of HD videos, $y$ = price of classic videos.

Step2: Fiona's purchase equation

Fiona: 5 HD + 2 classic = $31 → $5x + 2y = 31$

Step3: Iliana's purchase equation

Iliana: 3 HD + 5 classic = $30 → $3x + 5y = 30$

Step4: Match to options

Compare to given choices.

Answer:

5x+2y=31
3x+5y=30