Question

toby wants to buy a dress and a pair of jeans. the pair of jeans and the dress cost $68 together, and the pair of jeans is $20 more expensive than the dress. which of the following systems of equations correctly models this situation in terms d, the price of the dress in dollars, and j, and price of the pair of jeans in dollars?
choose 1 answer:
a $dj = 68$
$d - j = 20$
b $dj = 68$
$d + 20 = j$
c $d + j = 68$
$d - j = 20$
d $d + j = 68$
$d + 20 = j$

Explanation:

Step1: Model total cost equation

The dress ($d$) and jeans ($j$) cost $68 together, so their sum equals 68.
$d + j = 68$

Step2: Model price difference equation

Jeans are $20 more expensive than the dress, so dress price plus 20 equals jeans price.
$d + 20 = j$

Step3: Match to options

Compare the two equations to the given choices.

Answer:

D. $d + j = 68$
$d + 20 = j$