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Long-sleeve T-shirts cost $12.99; short-sleeve T-shirts cost $9.98. During one day, 90 shirts were sold for a total of $1,012.58. Let 3 represent the number of long-sleeve T-shirts and y represent the number of short-sleeve T-shirts. Identify the equations that represent the given information accurately. Select all that apply:

+y = 1,012.58
12.99a + 9.98y = 1,012.58
x + y = 90
12.99x + 9.98y = 90
12.99x + 9.98y < 90
12.99x > 9.98y

1 Answer

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Final answer:

The correct equations based on the given information are 12.99x + 9.98y = 1,012.58 and x + y = 90, which express the relationship between the quantity and cost of the T-shirts sold and the total number of T-shirts sold, respectively.

Step-by-step explanation:

The equations that represent the given information accurately are 12.99x + 9.98y = 1,012.58 and x + y = 90. The first equation represents the total dollar amount of shirts sold, with x being the number of long-sleeve T-shirts sold at $12.99 each and y being the number of short-sleeve T-shirts sold at $9.98 each. The second equation represents the total number of T-shirts sold, where again, x is the number of long-sleeve T-shirts and y is the number of short-sleeve T-shirts. Together, these two equations can be used to solve for the variables x and y.

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