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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?

User Mika Lammi
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Final answer:

To solve this problem, set up a system of equations based on the given information. The price of the dress is $24 and the price of the pair of jeans is $44.

Step-by-step explanation:

To solve this problem, we can set up a system of equations based on the given information. Let's define d as the price of the dress and j as the price of the pair of jeans. We know that the pair of jeans and the dress together cost $68, so the first equation is d + j = 68. We also know that the pair of jeans is $20 more expensive than the dress, so the second equation is j = d + 20.

Now we can solve this system of equations. We can substitute the value of j from the second equation into the first equation to get d + (d + 20) = 68. Combining like terms, we have 2d + 20 = 68. Subtracting 20 from both sides, we get 2d = 48. Dividing both sides by 2, we find that d = 24.

Finally, to find the price of the pair of jeans, we can substitute the value of d into the second equation. j = 24 + 20 = 44. So the price of the dress is $24 and the price of the pair of jeans is $44.

User Thegnuu
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