Question

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On a recent shopping trip, you see a sale advertising 5 pairs of socks and 2 pairs of shoes for $100. Write an equation using x to represent the cost of socks and y to represent the cost of shoes.
1.2x + 5y = 100
2.5x + 2y = 100
3.50x + 20y = 100
4.20x + 50y = 100

Answer 1

The correct equation to represent the cost of 5 pairs of socks and 2 pairs of shoes totaling $100 is '5x + 2y = 100', where x is the cost of socks and y is the cost of shoes.

Step-by-step explanation:

The student is asked to write an equation representing the cost of socks and shoes given a shopping trip scenario where 5 pairs of socks and 2 pairs of shoes total to $100. To represent the cost of socks with x and the cost of shoes with y, we look for an equation that properly combines these variables in line with the quantities provided.

According to the given information, multiplying the cost per pair of socks (x) by 5 and the cost per pair of shoes (y) by 2, and then adding these two products should equal $100. This is represented by the equation 5x + 2y = 100, which is the second option provided in the question.